Finding the Third Proportional to 255.80 and 603.56

Step by Step Solution

1. Step 1: Write the proportion equation
   255.80 : 603.56 = 603.56 : x
2. Step 2: Convert to fraction form
   255.80/603.56 = 603.56/x
3. Step 3: Cross multiply
   255.80x = 603.56 × 603.56
4. Step 4: Simplify right side
   255.80x = 364,287.69
5. Step 5: Solve for x
   x = 364,287.69/255.80
6. Step 6: Final answer
   x = 1,424.13