I have a GE Profile Harmony Dryer. No Power. 240v, 110v, 110v at the outlet but soon as I plug in the dryer I see 240v, 110v, 0v. Is the problem in the dryer or the power outlet on the wall?

Its not really clear to me where your measuring once you plug in the dryer, but all phases are measuring the correct voltage before, it appears you have an open circuit once you plug the dryer in. Now a dryer is 2 phase, so I would check all of your wiring connections, I would also check your circuit breaker and try swapping it out with a new one(as a last resort). Do some experimenting. In a dryer the heating elements are the only thing that runs on the 240V power. I would swap the hot leads in the dryer and see if any of the electrical components come on. Also try testing the continuity on your dryer plug wires to make sure there isn't a break in them (which can be proven by swapping the leads because now the same lead will read 0V on the other terminal).