Finding the Third Proportional to 59,256 and 86,544

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 86,544 = 86,544 : x
2. Step 2: Convert to fraction form
   59,256/86,544 = 86,544/x
3. Step 3: Cross multiply
   59,256x = 86,544 × 86,544
4. Step 4: Simplify right side
   59,256x = 7,489,863,936
5. Step 5: Solve for x
   x = 7,489,863,936/59,256
6. Step 6: Final answer
   x = 126,398.41