Finding the Third Proportional to 85,892 and 123,712

Step by Step Solution

1. Step 1: Write the proportion equation
   85,892 : 123,712 = 123,712 : x
2. Step 2: Convert to fraction form
   85,892/123,712 = 123,712/x
3. Step 3: Cross multiply
   85,892x = 123,712 × 123,712
4. Step 4: Simplify right side
   85,892x = 15,304,658,944
5. Step 5: Solve for x
   x = 15,304,658,944/85,892
6. Step 6: Final answer
   x = 178,184.92