please solve the problem step by step and calculate the right answer for me. Thanks, will upvote if the answer is correct.

Problem 2. (20 Points) An investor deposits 50 in an investment account on January 1. The following summarizes the activity in the account during the year. On June 30, the value of the account is 157.50. On December 31, the value of the account is X. Using the time-weighted method, the equivalent effective annual yield during the first 6 months is equal to the (time-weighted) effective annual yield during the entire 1-year period. Calculate X