Finding the Third Proportional to 80,622 and 175,581

Step by Step Solution

1. Step 1: Write the proportion equation
   80,622 : 175,581 = 175,581 : x
2. Step 2: Convert to fraction form
   80,622/175,581 = 175,581/x
3. Step 3: Cross multiply
   80,622x = 175,581 × 175,581
4. Step 4: Simplify right side
   80,622x = 30,828,687,561
5. Step 5: Solve for x
   x = 30,828,687,561/80,622
6. Step 6: Final answer
   x = 382,385.55