Given
Lisa earned $149,461.20
The Social Security maximum taxable was $68,400, and the Social Security percent was 6.2%
Find out in what month did Lisa hit the maximum taxable Social Security income.
To proof
As given in the question
In 1998, Lisa earned $149,461.20 i.e lisa annual income is $149,461.20 in 1998.
A year is consist of 12 months

Earning per month = $12455.1
As given in the question
Social Security maximum taxable was $68,400
Let us assume that the month did Lisa hit the maximum taxable Social Security income be x.
Than the inequality becomes

put the value

5. 49 ( approx) ≥ x
5.49 months ≥ x
This shows the last contribution was on the june month.
Hence proved