Finding the Third Proportional to 82,448 and 116,472

Step by Step Solution

1. Step 1: Write the proportion equation
   82,448 : 116,472 = 116,472 : x
2. Step 2: Convert to fraction form
   82,448/116,472 = 116,472/x
3. Step 3: Cross multiply
   82,448x = 116,472 × 116,472
4. Step 4: Simplify right side
   82,448x = 13,565,726,784
5. Step 5: Solve for x
   x = 13,565,726,784/82,448
6. Step 6: Final answer
   x = 164,536.76