Finding the Third Proportional to 85,760 and 132,528

Step by Step Solution

1. Step 1: Write the proportion equation
   85,760 : 132,528 = 132,528 : x
2. Step 2: Convert to fraction form
   85,760/132,528 = 132,528/x
3. Step 3: Cross multiply
   85,760x = 132,528 × 132,528
4. Step 4: Simplify right side
   85,760x = 17,563,670,784
5. Step 5: Solve for x
   x = 17,563,670,784/85,760
6. Step 6: Final answer
   x = 204,800.27