Gerald,
Do you have a 292 block that only has 2 starter bolt holes? If so, then you are either going to have to purchase a small-diameter flywheel (158 teeth), or drill the third hole into the pan rail. Or you may have to pull a magic trick and find a starter that doesn't seem to exist on a parts shelf

I ran into this problem on my '63 292 (2 holes) when I committed to using a TH400 with a converter that HAD to use a large flywheel. My bet is your TH350 converter can use either flywheel.
The later model 292 blocks came with 3 bolt holes, which allows the use of the large diameter flywheels (164 teeth) or the small one. You found out already the starters are not interchangeable.
You're last choice is to purchase a special starter from Summit or a local speed shop that can bolt up to use either size flywheel.
If the 292 flywheel you just ordered turns out to be 164 teeth, then your cheapest option is probably to use your new 292 starter and order a 158 tooth flywheel. That's what ALL the 292 auto trans applications used until they began the 3-hole castings.
There were a couple of posted topics on this within the past 4 or 5 months, but I believe they now reside in the archives. You might want to do a search and take a look at them.
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David
newbie #4153