Finding the Third Proportional to 55,754 and 120,256

Step by Step Solution

1. Step 1: Write the proportion equation
   55,754 : 120,256 = 120,256 : x
2. Step 2: Convert to fraction form
   55,754/120,256 = 120,256/x
3. Step 3: Cross multiply
   55,754x = 120,256 × 120,256
4. Step 4: Simplify right side
   55,754x = 14,461,505,536
5. Step 5: Solve for x
   x = 14,461,505,536/55,754
6. Step 6: Final answer
   x = 259,380.59