I need to see the parts break down of the rear axle assembly for a 1998 mongoose crossway 450 bike.

https://www.amazon.com/mongoose-rear-axle/s?k=mongoose+rear+axle

https://www.ebay.com/b/Mongoose-Bike-Components-Parts/57262/bn_1990583

https://help.mongoose.com/hc/en-us/articles/5626506529815-Can-I-buy-replacement-service-parts-from-you-

You might try craig's list . This is not a hot link.

Try eBay

Question moved from Cars and Trucks.

In my day there was two small holes and you used a special wrench. videos

https://www.google.com/search?q=mongoose+rear+axle+assembly

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Get the kind that has a lever shift instead of the grip shifter. The plastic part that holds the spring breaks easily. The lever shifter has been going strong on my bike for 6 years without a problem

Tires size is on the tire. Frame size is measured from the center of the crank to the bottom of the seat post at the frame.

See previous answer

Almost all Mongoose models use the standard BSA 68.
I would write a question to them at:
http://mongoosebikes.net/mongoose-bmx-bike/20-mongoose-mode-270-v2-freestyle-bmx-bike/
This bearing should not fail during the normal life of the bicycle, unless the rider weight is over 80 Kg.

The "hubs screw is called an axle, and you did not really ask a question. Unless you want to depend on the pegs to hold your wheel on you will need to get a longer axle and take apart the entire hub to replace it.

I’m happy to help further over the phone at https://www.6ya.com/expert/donald_f2ed37026a3ac881

To remove any rear freewheel or cassette you will need to purchase a Park Tool. Park Tool is the best brand when it comes to bike repair. Google Park Tool and you can look through their products. You will need a cassette/freewheel remover. There are dozens of different companies that make hubs and cassettes (gear sprocket). Take a look at yours and see what company made it. You can than find out which tool with properly fit your cassette. These tools are made to fit in a wrench making hand removal easy. Some brands will require a chain whip. The only way you will know which too you need is by find the company name on the cassette/hub. Without this tool removal is virtually impossible. If you need help narrowing down which cassette remover you need you can always let me know the company name and I will let you know the proper cassette tool to purchase.

The bikes are pre-assembled by a machine that overtightens the rear axle.  I had the same problem with my daugher's 12 inch huffy princess bike and my other duaghter's 16 inch Schwinn bike.  If you loosen the nuts on the back axle it fixes the problem.  I have read that the idea thing for these bike is to have them re-assembled and re-lubricated by a bike shop, but I thought this might cost as much as I paid for the bike.