Finding the Third Proportional to 133,872 and 207,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,872 : 207,286.50 = 207,286.50 : x
2. Step 2: Convert to fraction form
   133,872/207,286.50 = 207,286.50/x
3. Step 3: Cross multiply
   133,872x = 207,286.50 × 207,286.50
4. Step 4: Simplify right side
   133,872x = 42,967,693,082.25
5. Step 5: Solve for x
   x = 42,967,693,082.25/133,872
6. Step 6: Final answer
   x = 320,961.02