Finding the Third Proportional to 54,882 and 120,456

Step by Step Solution

1. Step 1: Write the proportion equation
   54,882 : 120,456 = 120,456 : x
2. Step 2: Convert to fraction form
   54,882/120,456 = 120,456/x
3. Step 3: Cross multiply
   54,882x = 120,456 × 120,456
4. Step 4: Simplify right side
   54,882x = 14,509,647,936
5. Step 5: Solve for x
   x = 14,509,647,936/54,882
6. Step 6: Final answer
   x = 264,378.99