Finding the Third Proportional to 357,676 and 501,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,676 : 501,355.50 = 501,355.50 : x
2. Step 2: Convert to fraction form
   357,676/501,355.50 = 501,355.50/x
3. Step 3: Cross multiply
   357,676x = 501,355.50 × 501,355.50
4. Step 4: Simplify right side
   357,676x = 251,357,337,380.25
5. Step 5: Solve for x
   x = 251,357,337,380.25/357,676
6. Step 6: Final answer
   x = 702,751.48