Finding the Third Proportional to 80,772 and 176,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,772 : 176,231.50 = 176,231.50 : x
2. Step 2: Convert to fraction form
   80,772/176,231.50 = 176,231.50/x
3. Step 3: Cross multiply
   80,772x = 176,231.50 × 176,231.50
4. Step 4: Simplify right side
   80,772x = 31,057,541,592.25
5. Step 5: Solve for x
   x = 31,057,541,592.25/80,772
6. Step 6: Final answer
   x = 384,508.76