Finding the Third Proportional to 82,159 and 132,274

Step by Step Solution

1. Step 1: Write the proportion equation
   82,159 : 132,274 = 132,274 : x
2. Step 2: Convert to fraction form
   82,159/132,274 = 132,274/x
3. Step 3: Cross multiply
   82,159x = 132,274 × 132,274
4. Step 4: Simplify right side
   82,159x = 17,496,411,076
5. Step 5: Solve for x
   x = 17,496,411,076/82,159
6. Step 6: Final answer
   x = 212,957.94