Finding the Third Proportional to 85,892 and 126,271

Step by Step Solution

1. Step 1: Write the proportion equation
   85,892 : 126,271 = 126,271 : x
2. Step 2: Convert to fraction form
   85,892/126,271 = 126,271/x
3. Step 3: Cross multiply
   85,892x = 126,271 × 126,271
4. Step 4: Simplify right side
   85,892x = 15,944,365,441
5. Step 5: Solve for x
   x = 15,944,365,441/85,892
6. Step 6: Final answer
   x = 185,632.72