Finding the Third Proportional to 123,862 and 172,345

Step by Step Solution

1. Step 1: Write the proportion equation
   123,862 : 172,345 = 172,345 : x
2. Step 2: Convert to fraction form
   123,862/172,345 = 172,345/x
3. Step 3: Cross multiply
   123,862x = 172,345 × 172,345
4. Step 4: Simplify right side
   123,862x = 29,702,799,025
5. Step 5: Solve for x
   x = 29,702,799,025/123,862
6. Step 6: Final answer
   x = 239,805.58