Finding the Third Proportional to 172,426 and 267,605

Step by Step Solution

1. Step 1: Write the proportion equation
   172,426 : 267,605 = 267,605 : x
2. Step 2: Convert to fraction form
   172,426/267,605 = 267,605/x
3. Step 3: Cross multiply
   172,426x = 267,605 × 267,605
4. Step 4: Simplify right side
   172,426x = 71,612,436,025
5. Step 5: Solve for x
   x = 71,612,436,025/172,426
6. Step 6: Final answer
   x = 415,322.72