Finding the Third Proportional to 82,096 and 132,216

Step by Step Solution

1. Step 1: Write the proportion equation
   82,096 : 132,216 = 132,216 : x
2. Step 2: Convert to fraction form
   82,096/132,216 = 132,216/x
3. Step 3: Cross multiply
   82,096x = 132,216 × 132,216
4. Step 4: Simplify right side
   82,096x = 17,481,070,656
5. Step 5: Solve for x
   x = 17,481,070,656/82,096
6. Step 6: Final answer
   x = 212,934.50