Finding the Third Proportional to 80,612 and 175,496

Step by Step Solution

1. Step 1: Write the proportion equation
   80,612 : 175,496 = 175,496 : x
2. Step 2: Convert to fraction form
   80,612/175,496 = 175,496/x
3. Step 3: Cross multiply
   80,612x = 175,496 × 175,496
4. Step 4: Simplify right side
   80,612x = 30,798,846,016
5. Step 5: Solve for x
   x = 30,798,846,016/80,612
6. Step 6: Final answer
   x = 382,062.79