If you have one of these, check it with an ohmmeter. Positive goes to the pin that's sort of sitting off by itself. Negative goes to the pin at the opposite end of the connector, and nothing connects to the pin in the middle.
It's like wjm1129 said, that third pin is there for radios that need a constant voltage to store something in memory. Usually those are color coded red for main radio power (gets switched by the on off switch in the radio), yellow or orange for memory power (does not get switched, because that would wipe the memory), and black for ground.
Just to make sure I wasn't remembering it wrong, I pulled two power cords I have that are set up like the one in the picture. One of these is a few decades old, the other one I recently bought for a radio that came without a power cord. Neither of them had the center pin connected to anything.