Finding the Third Proportional to 72,657 and 109,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,657 : 109,057.50 = 109,057.50 : x
2. Step 2: Convert to fraction form
   72,657/109,057.50 = 109,057.50/x
3. Step 3: Cross multiply
   72,657x = 109,057.50 × 109,057.50
4. Step 4: Simplify right side
   72,657x = 11,893,538,306.25
5. Step 5: Solve for x
   x = 11,893,538,306.25/72,657
6. Step 6: Final answer
   x = 163,694.32