Finding the Third Proportional to 82,158 and 132,273

Step by Step Solution

1. Step 1: Write the proportion equation
   82,158 : 132,273 = 132,273 : x
2. Step 2: Convert to fraction form
   82,158/132,273 = 132,273/x
3. Step 3: Cross multiply
   82,158x = 132,273 × 132,273
4. Step 4: Simplify right side
   82,158x = 17,496,146,529
5. Step 5: Solve for x
   x = 17,496,146,529/82,158
6. Step 6: Final answer
   x = 212,957.31