Finding the Third Proportional to 82,382 and 129,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,382 : 129,404 = 129,404 : x
2. Step 2: Convert to fraction form
   82,382/129,404 = 129,404/x
3. Step 3: Cross multiply
   82,382x = 129,404 × 129,404
4. Step 4: Simplify right side
   82,382x = 16,745,395,216
5. Step 5: Solve for x
   x = 16,745,395,216/82,382
6. Step 6: Final answer
   x = 203,265.22