Finding the Third Proportional to 82,152 and 132,264

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 132,264 = 132,264 : x
2. Step 2: Convert to fraction form
   82,152/132,264 = 132,264/x
3. Step 3: Cross multiply
   82,152x = 132,264 × 132,264
4. Step 4: Simplify right side
   82,152x = 17,493,765,696
5. Step 5: Solve for x
   x = 17,493,765,696/82,152
6. Step 6: Final answer
   x = 212,943.88