Finding the Third Proportional to 255.56 and 557.56

Step by Step Solution

1. Step 1: Write the proportion equation
   255.56 : 557.56 = 557.56 : x
2. Step 2: Convert to fraction form
   255.56/557.56 = 557.56/x
3. Step 3: Cross multiply
   255.56x = 557.56 × 557.56
4. Step 4: Simplify right side
   255.56x = 310,875.94
5. Step 5: Solve for x
   x = 310,875.94/255.56
6. Step 6: Final answer
   x = 1,216.44