Finding the Third Proportional to 111,137 and 172,345

Step by Step Solution

1. Step 1: Write the proportion equation
   111,137 : 172,345 = 172,345 : x
2. Step 2: Convert to fraction form
   111,137/172,345 = 172,345/x
3. Step 3: Cross multiply
   111,137x = 172,345 × 172,345
4. Step 4: Simplify right side
   111,137x = 29,702,799,025
5. Step 5: Solve for x
   x = 29,702,799,025/111,137
6. Step 6: Final answer
   x = 267,262.92