Finding the Third Proportional to 267,909 and 363,850.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,909 : 363,850.50 = 363,850.50 : x
2. Step 2: Convert to fraction form
   267,909/363,850.50 = 363,850.50/x
3. Step 3: Cross multiply
   267,909x = 363,850.50 × 363,850.50
4. Step 4: Simplify right side
   267,909x = 132,387,186,350.25
5. Step 5: Solve for x
   x = 132,387,186,350.25/267,909
6. Step 6: Final answer
   x = 494,149.83