I have had to buy a replacement condenser fan motor for my weather king model
WAKA-037JAZ. The old motor was a 3 wire motor and the replacement motor is 5 wires. How do I hook it up to the capacitior? What wires to what connector?

Did you buy a new capacitor?
And if you did is it a dual capacitor or a single?

You should have two brown wires. One with a white stripe on it. These two wires should go to the new capacitor if it is a single capacitor.

If you bought a new double the two brown wires will connect to the terminals on the new capacitor like this, the solid brown goes to the one marked fan, the brown and white will go on the middle position of the capacitor. The black wire will go on the contactor where you took the old motor black wire off. The use the white or yellow, which ever you have and it also goes on the middle position of the capacitor, there should already be a yellow wire on the middle terminal of the capacitor. The other wires you can cap them individually with wire nuts.