Finding the Third Proportional to 82,828 and 131,210

Step by Step Solution

1. Step 1: Write the proportion equation
   82,828 : 131,210 = 131,210 : x
2. Step 2: Convert to fraction form
   82,828/131,210 = 131,210/x
3. Step 3: Cross multiply
   82,828x = 131,210 × 131,210
4. Step 4: Simplify right side
   82,828x = 17,216,064,100
5. Step 5: Solve for x
   x = 17,216,064,100/82,828
6. Step 6: Final answer
   x = 207,853.19