Finding the Third Proportional to 80,499 and 176,856

Step by Step Solution

1. Step 1: Write the proportion equation
   80,499 : 176,856 = 176,856 : x
2. Step 2: Convert to fraction form
   80,499/176,856 = 176,856/x
3. Step 3: Cross multiply
   80,499x = 176,856 × 176,856
4. Step 4: Simplify right side
   80,499x = 31,278,044,736
5. Step 5: Solve for x
   x = 31,278,044,736/80,499
6. Step 6: Final answer
   x = 388,551.97