Finding the Third Proportional to 102,538 and 137,967

Step by Step Solution

1. Step 1: Write the proportion equation
   102,538 : 137,967 = 137,967 : x
2. Step 2: Convert to fraction form
   102,538/137,967 = 137,967/x
3. Step 3: Cross multiply
   102,538x = 137,967 × 137,967
4. Step 4: Simplify right side
   102,538x = 19,034,893,089
5. Step 5: Solve for x
   x = 19,034,893,089/102,538
6. Step 6: Final answer
   x = 185,637.45