Determine the energy neded to put 5kg, initially at rest on Earth's surface, into geosynchronous orbit.

I get 2.9*10^8 where did I gow wrong?

I don't have a clue what you did, you have never posted that.

You have to add the change in PEnergy and KE of the satellite.

PE= INT Forcegravity*dh from Re to Rg

KEchange=final KE - Intial KE

now on the initial KE, remember that the launching point has a velocity as the Earth rotates.

I will be happy to critique your thinking on this.