Finding the Third Proportional to 72,666 and 109,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,666 : 109,363.50 = 109,363.50 : x
2. Step 2: Convert to fraction form
   72,666/109,363.50 = 109,363.50/x
3. Step 3: Cross multiply
   72,666x = 109,363.50 × 109,363.50
4. Step 4: Simplify right side
   72,666x = 11,960,375,132.25
5. Step 5: Solve for x
   x = 11,960,375,132.25/72,666
6. Step 6: Final answer
   x = 164,593.83