So Cal Free Net.org

First add straight-thru leads for the ethernet signal between the two connectors as shown. Then, cut the plugpack lead, and solder it to some solid core ethernet cable strands. We used cat-5 wiring standard T-568B for our adapter.

The white stripe on the plugpack wire goes to 4-5 (blue/bluewhite) and the totally black lead goes to 7-8 (brown-brownwhite). Then feed those strands into a double ethernet jack box. Punch those strands down as color coded on the block and you're done!

According to this poe calculator at 100ft it should still
get 12.5 even at the full 1 Amp (probably more than the AP draws).

DO NOT PLUG IN A STANDARD POE ADAPTER. Although the AP supports power on its ethernet port, close reading of the Proxim Harmony Power System manual, which also contains the PoE pinouts, suggests that Proxim was using 24V rather than the 48V which was later adopted as standard. Maybe someone can review the parts on the board and provide a definitive answer?