Finding the Third Proportional to 82,404 and 176,472

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404 : 176,472 = 176,472 : x
2. Step 2: Convert to fraction form
   82,404/176,472 = 176,472/x
3. Step 3: Cross multiply
   82,404x = 176,472 × 176,472
4. Step 4: Simplify right side
   82,404x = 31,142,366,784
5. Step 5: Solve for x
   x = 31,142,366,784/82,404
6. Step 6: Final answer
   x = 377,923.00