Finding the Third Proportional to 102,522 and 137,949

Step by Step Solution

1. Step 1: Write the proportion equation
   102,522 : 137,949 = 137,949 : x
2. Step 2: Convert to fraction form
   102,522/137,949 = 137,949/x
3. Step 3: Cross multiply
   102,522x = 137,949 × 137,949
4. Step 4: Simplify right side
   102,522x = 19,029,926,601
5. Step 5: Solve for x
   x = 19,029,926,601/102,522
6. Step 6: Final answer
   x = 185,617.98