Finding the Third Proportional to 85,920 and 131,448

Step by Step Solution

1. Step 1: Write the proportion equation
   85,920 : 131,448 = 131,448 : x
2. Step 2: Convert to fraction form
   85,920/131,448 = 131,448/x
3. Step 3: Cross multiply
   85,920x = 131,448 × 131,448
4. Step 4: Simplify right side
   85,920x = 17,278,576,704
5. Step 5: Solve for x
   x = 17,278,576,704/85,920
6. Step 6: Final answer
   x = 201,100.75