Finding the Third Proportional to 133,485 and 206,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,485 : 206,617.50 = 206,617.50 : x
2. Step 2: Convert to fraction form
   133,485/206,617.50 = 206,617.50/x
3. Step 3: Cross multiply
   133,485x = 206,617.50 × 206,617.50
4. Step 4: Simplify right side
   133,485x = 42,690,791,306.25
5. Step 5: Solve for x
   x = 42,690,791,306.25/133,485
6. Step 6: Final answer
   x = 319,817.14