Finding the Third Proportional to 133,713 and 206,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,713 : 206,365.50 = 206,365.50 : x
2. Step 2: Convert to fraction form
   133,713/206,365.50 = 206,365.50/x
3. Step 3: Cross multiply
   133,713x = 206,365.50 × 206,365.50
4. Step 4: Simplify right side
   133,713x = 42,586,719,590.25
5. Step 5: Solve for x
   x = 42,586,719,590.25/133,713
6. Step 6: Final answer
   x = 318,493.49