Yep, center pin is ground. White is neutral, black is hot. My 7400 looks like that, but it uses a 3 pin plug on the board, oriented the same way.
To be honest, I'd strip that wire jacket, cut off that 3 pin connector, and install a standard 2 pin connector on there with the hot and neutral. I'd leave the ground wire as a separate wire since that's the way most classic arcade cab wiring harnesses are setup anyway.
Or, just make yourself a pigtail adapter, like I did: