Finding the Third Proportional to 120.55 and 255.34

Step by Step Solution

1. Step 1: Write the proportion equation
   120.55 : 255.34 = 255.34 : x
2. Step 2: Convert to fraction form
   120.55/255.34 = 255.34/x
3. Step 3: Cross multiply
   120.55x = 255.34 × 255.34
4. Step 4: Simplify right side
   120.55x = 65,198.44
5. Step 5: Solve for x
   x = 65,198.44/120.55
6. Step 6: Final answer
   x = 540.84