Finding the Third Proportional to 82,918 and 129,256

Step by Step Solution

1. Step 1: Write the proportion equation
   82,918 : 129,256 = 129,256 : x
2. Step 2: Convert to fraction form
   82,918/129,256 = 129,256/x
3. Step 3: Cross multiply
   82,918x = 129,256 × 129,256
4. Step 4: Simplify right side
   82,918x = 16,707,113,536
5. Step 5: Solve for x
   x = 16,707,113,536/82,918
6. Step 6: Final answer
   x = 201,489.59