Finding the Third Proportional to 85,838 and 132,648

Step by Step Solution

1. Step 1: Write the proportion equation
   85,838 : 132,648 = 132,648 : x
2. Step 2: Convert to fraction form
   85,838/132,648 = 132,648/x
3. Step 3: Cross multiply
   85,838x = 132,648 × 132,648
4. Step 4: Simplify right side
   85,838x = 17,595,491,904
5. Step 5: Solve for x
   x = 17,595,491,904/85,838
6. Step 6: Final answer
   x = 204,984.88