Finding the Third Proportional to 61,872 and 132,096

Step by Step Solution

1. Step 1: Write the proportion equation
   61,872 : 132,096 = 132,096 : x
2. Step 2: Convert to fraction form
   61,872/132,096 = 132,096/x
3. Step 3: Cross multiply
   61,872x = 132,096 × 132,096
4. Step 4: Simplify right side
   61,872x = 17,449,353,216
5. Step 5: Solve for x
   x = 17,449,353,216/61,872
6. Step 6: Final answer
   x = 282,023.42