Finding the Third Proportional to 85,968 and 131,496

Step by Step Solution

1. Step 1: Write the proportion equation
   85,968 : 131,496 = 131,496 : x
2. Step 2: Convert to fraction form
   85,968/131,496 = 131,496/x
3. Step 3: Cross multiply
   85,968x = 131,496 × 131,496
4. Step 4: Simplify right side
   85,968x = 17,291,198,016
5. Step 5: Solve for x
   x = 17,291,198,016/85,968
6. Step 6: Final answer
   x = 201,135.28