Finding the Third Proportional to 55,872 and 120,456

Step by Step Solution

1. Step 1: Write the proportion equation
   55,872 : 120,456 = 120,456 : x
2. Step 2: Convert to fraction form
   55,872/120,456 = 120,456/x
3. Step 3: Cross multiply
   55,872x = 120,456 × 120,456
4. Step 4: Simplify right side
   55,872x = 14,509,647,936
5. Step 5: Solve for x
   x = 14,509,647,936/55,872
6. Step 6: Final answer
   x = 259,694.44