- Could there be a third President Bush? The current chief said Wednesday that younger brother Jeb would make a great one, too, and has asked him about making a run. The first President Bush likes the idea as well. <!--/summary-->Jeb Bush, the Republican governor of Florida, has one asset that his presidential brother doesn't right now ? approval from most of his constituents. While George W. Bush's approval ratings are in the low 30s, some 55 percent of Florida voters surveyed last month by Quinnipiac University said Jeb was doing a good job.