Finding the Third Proportional to 82,452 and 132,756

Step by Step Solution

1. Step 1: Write the proportion equation
   82,452 : 132,756 = 132,756 : x
2. Step 2: Convert to fraction form
   82,452/132,756 = 132,756/x
3. Step 3: Cross multiply
   82,452x = 132,756 × 132,756
4. Step 4: Simplify right side
   82,452x = 17,624,155,536
5. Step 5: Solve for x
   x = 17,624,155,536/82,452
6. Step 6: Final answer
   x = 213,750.49