Finding the Third Proportional to 80,784 and 176,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,784 : 176,056.50 = 176,056.50 : x
2. Step 2: Convert to fraction form
   80,784/176,056.50 = 176,056.50/x
3. Step 3: Cross multiply
   80,784x = 176,056.50 × 176,056.50
4. Step 4: Simplify right side
   80,784x = 30,995,891,192.25
5. Step 5: Solve for x
   x = 30,995,891,192.25/80,784
6. Step 6: Final answer
   x = 383,688.49