4, 6, 34, ?, 504, 1234
6 - 4 = 2 = $$1^3 + 1$$
34 - 6 = 28 = $$3^3 + 1$$
1234 - 504 = 730 = $$9^3 + 1$$
The pattern here is difference between consecutive terms is $$1^3 + 1, 3^3 + 1, 5^3 + 1, 7^3 + 1, 9^3 + 1$$
$$\therefore$$ The third term is $$34 + 5^3 + 1 = 160$$
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