Finding the Third Proportional to 255.94 and 540.56

Step by Step Solution

1. Step 1: Write the proportion equation
   255.94 : 540.56 = 540.56 : x
2. Step 2: Convert to fraction form
   255.94/540.56 = 540.56/x
3. Step 3: Cross multiply
   255.94x = 540.56 × 540.56
4. Step 4: Simplify right side
   255.94x = 292,207.82
5. Step 5: Solve for x
   x = 292,207.82/255.94
6. Step 6: Final answer
   x = 1,141.72