Finding the Third Proportional to 133,731 and 278,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,731 : 278,668.50 = 278,668.50 : x
2. Step 2: Convert to fraction form
   133,731/278,668.50 = 278,668.50/x
3. Step 3: Cross multiply
   133,731x = 278,668.50 × 278,668.50
4. Step 4: Simplify right side
   133,731x = 77,656,132,892.25
5. Step 5: Solve for x
   x = 77,656,132,892.25/133,731
6. Step 6: Final answer
   x = 580,689.09