Finding the Third Proportional to 87,844 and 132,538

Step by Step Solution

1. Step 1: Write the proportion equation
   87,844 : 132,538 = 132,538 : x
2. Step 2: Convert to fraction form
   87,844/132,538 = 132,538/x
3. Step 3: Cross multiply
   87,844x = 132,538 × 132,538
4. Step 4: Simplify right side
   87,844x = 17,566,321,444
5. Step 5: Solve for x
   x = 17,566,321,444/87,844
6. Step 6: Final answer
   x = 199,971.78