Finding the Third Proportional to 80,362 and 176,496

Step by Step Solution

1. Step 1: Write the proportion equation
   80,362 : 176,496 = 176,496 : x
2. Step 2: Convert to fraction form
   80,362/176,496 = 176,496/x
3. Step 3: Cross multiply
   80,362x = 176,496 × 176,496
4. Step 4: Simplify right side
   80,362x = 31,150,838,016
5. Step 5: Solve for x
   x = 31,150,838,016/80,362
6. Step 6: Final answer
   x = 387,631.44