Let x be the second number in the Fibonacci sequence.
Then we have the sequence is as follows:
1st: 1
2nd: x
3rd: 1 + x
4th: 1 + 2x
5th: 2 + 3x
6th: 3 + 5x
7th: 5 + 8x
8th: 8 + 13x
9th: 13 + 21x
10th: 21 + 34x
so 111 = 21 + 34x, so 34x = 90, so x = 90/34 = 45/17.
Thus the second term would be 45/17. (if I haven’t made any errors in arithmetic).