Finding the Third Proportional to 255.89 and 563.04

Step by Step Solution

1. Step 1: Write the proportion equation
   255.89 : 563.04 = 563.04 : x
2. Step 2: Convert to fraction form
   255.89/563.04 = 563.04/x
3. Step 3: Cross multiply
   255.89x = 563.04 × 563.04
4. Step 4: Simplify right side
   255.89x = 317,019.58
5. Step 5: Solve for x
   x = 317,019.58/255.89
6. Step 6: Final answer
   x = 1,238.87