Finding the Third Proportional to 267,850 and 415,002

Step by Step Solution

1. Step 1: Write the proportion equation
   267,850 : 415,002 = 415,002 : x
2. Step 2: Convert to fraction form
   267,850/415,002 = 415,002/x
3. Step 3: Cross multiply
   267,850x = 415,002 × 415,002
4. Step 4: Simplify right side
   267,850x = 172,226,660,004
5. Step 5: Solve for x
   x = 172,226,660,004/267,850
6. Step 6: Final answer
   x = 642,996.68