Finding the Third Proportional to 82,612 and 116,790

Step by Step Solution

1. Step 1: Write the proportion equation
   82,612 : 116,790 = 116,790 : x
2. Step 2: Convert to fraction form
   82,612/116,790 = 116,790/x
3. Step 3: Cross multiply
   82,612x = 116,790 × 116,790
4. Step 4: Simplify right side
   82,612x = 13,639,904,100
5. Step 5: Solve for x
   x = 13,639,904,100/82,612
6. Step 6: Final answer
   x = 165,108.02