Finding the Third Proportional to 80,499 and 175,626

Step by Step Solution

1. Step 1: Write the proportion equation
   80,499 : 175,626 = 175,626 : x
2. Step 2: Convert to fraction form
   80,499/175,626 = 175,626/x
3. Step 3: Cross multiply
   80,499x = 175,626 × 175,626
4. Step 4: Simplify right side
   80,499x = 30,844,491,876
5. Step 5: Solve for x
   x = 30,844,491,876/80,499
6. Step 6: Final answer
   x = 383,166.15