My Poulan Pro 260 chainsaw will start and run when the choke is pulled out, but as soon as I disengage the choke, the saw dies. Do I need to have the carbuerator checked?

It is running in a lean condition. Continued operation like that can cause piston and cylinder failure.
I'd take it in for repair estimate ($10) at the local chainsaw seller/mechanic. Explain the problem you are having, Probably a leaking fuel line. I'd expect a repair and tune up about $40-60. Your saw will perform better and your arm will thank you. If tuned ask what fuel/oil ratio they used (should be 50:1) and affix a label to your fuel tank. HTH
Lou

Fuel starvation - 'lean fuel' condition
Basic things to check:
1) spark plug
2) spark arrestor in muffler
3) fuel lines and tank filter
4) turn adjustment needles out (counterclockwise) 1/4 to 1/2 turn
Chain Saws:
5) check impulse tube and intake boot for cracks or leaks
*if all of the above are OK and/or do not improve performance then:
Remove Carburetor
6) replace gaskets/diaphragms
a) use a spray carb cleaner to clean jets, holes, and body of carb
b) fuel pump diaphragm goes against the carb body,
then the gasket towards the outside
c) metering gasket goes against the carb body,
and the diaphragm goes towards the outside

I’m happy to assist further over the phone at https://www.6ya.com/expert/rolandw_c013176d62ee17ae

2 cycle gas even if mixed right plugs the needle seats unless the saw is used consistently, try this first, get a can of carb cleaner and try running this aerosol thru the carb while its running and see if this helps,then the gas may finish the clean-out process