Finding the Third Proportional to 82,828 and 131,612

Step by Step Solution

1. Step 1: Write the proportion equation
   82,828 : 131,612 = 131,612 : x
2. Step 2: Convert to fraction form
   82,828/131,612 = 131,612/x
3. Step 3: Cross multiply
   82,828x = 131,612 × 131,612
4. Step 4: Simplify right side
   82,828x = 17,321,718,544
5. Step 5: Solve for x
   x = 17,321,718,544/82,828
6. Step 6: Final answer
   x = 209,128.78