Finding the Third Proportional to 82,156 and 132,270

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156 : 132,270 = 132,270 : x
2. Step 2: Convert to fraction form
   82,156/132,270 = 132,270/x
3. Step 3: Cross multiply
   82,156x = 132,270 × 132,270
4. Step 4: Simplify right side
   82,156x = 17,495,352,900
5. Step 5: Solve for x
   x = 17,495,352,900/82,156
6. Step 6: Final answer
   x = 212,952.83