Finding the Third Proportional to 59,256 and 91,728

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 91,728 = 91,728 : x
2. Step 2: Convert to fraction form
   59,256/91,728 = 91,728/x
3. Step 3: Cross multiply
   59,256x = 91,728 × 91,728
4. Step 4: Simplify right side
   59,256x = 8,414,025,984
5. Step 5: Solve for x
   x = 8,414,025,984/59,256
6. Step 6: Final answer
   x = 141,994.50