Finding the Third Proportional to 80,366 and 176,042

Step by Step Solution

1. Step 1: Write the proportion equation
   80,366 : 176,042 = 176,042 : x
2. Step 2: Convert to fraction form
   80,366/176,042 = 176,042/x
3. Step 3: Cross multiply
   80,366x = 176,042 × 176,042
4. Step 4: Simplify right side
   80,366x = 30,990,785,764
5. Step 5: Solve for x
   x = 30,990,785,764/80,366
6. Step 6: Final answer
   x = 385,620.61