Finding the Third Proportional to 80,500 and 176,552

Step by Step Solution

1. Step 1: Write the proportion equation
   80,500 : 176,552 = 176,552 : x
2. Step 2: Convert to fraction form
   80,500/176,552 = 176,552/x
3. Step 3: Cross multiply
   80,500x = 176,552 × 176,552
4. Step 4: Simplify right side
   80,500x = 31,170,608,704
5. Step 5: Solve for x
   x = 31,170,608,704/80,500
6. Step 6: Final answer
   x = 387,212.53