Refer to Page 5-6, Figure 5-5 in the GNC300XL installation manual. Note the large box on the right of the page named "Navigation Indicator". The functions for each of the indicators are depicted in that box. The terms "stator" and "rotor" are used interchangeably with the term "resolver". Just match up the letters with the pins on the IND350A and GNC300XL and ignore the Garmin MD41 switching relay, as I don't think you are installing one of these - consider the wires as "passing through" this box.
I did a quick match up and came up with this:
GNC300XL - - - - - - - - - - IND350A
1 - - - - - - - - - - - - - - 11
2 - - - - - - - - - - - - - - 9
3 - - - - - - - - - - - - - - 7
4 - - - - - - - - - - - - - - 5, 6, 8, 10, 12,
14- - - - - - - - - - - - - - 2
35- - - - - - - - - - - - - - 3
37- - - - - - - - - - - - - - 4
Please double check, as this was done very quickly. On the IND350A, you'll need to wire RESOLVER A and H (pins 19 and 1) to ground + wire the dimmer pins per your aircraft buss voltage. The resolver wiring must be done with shielded 2-conductor wire, usually 24 gauge. 22 gauge is easier to work with but may be tough to fit in the connector shell. The shields must be grounded on both ends of each shielded pair. Use Figure 5-5 for pairing the resolver, flag, and deviation bar wiring.