Finding the Third Proportional to 267,057 and 415,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,057 : 415,903.50 = 415,903.50 : x
2. Step 2: Convert to fraction form
   267,057/415,903.50 = 415,903.50/x
3. Step 3: Cross multiply
   267,057x = 415,903.50 × 415,903.50
4. Step 4: Simplify right side
   267,057x = 172,975,721,312.25
5. Step 5: Solve for x
   x = 172,975,721,312.25/267,057
6. Step 6: Final answer
   x = 647,710.87