Finding the Third Proportional to 255.69 and 559.94

Step by Step Solution

1. Step 1: Write the proportion equation
   255.69 : 559.94 = 559.94 : x
2. Step 2: Convert to fraction form
   255.69/559.94 = 559.94/x
3. Step 3: Cross multiply
   255.69x = 559.94 × 559.94
4. Step 4: Simplify right side
   255.69x = 313,530.00
5. Step 5: Solve for x
   x = 313,530.00/255.69
6. Step 6: Final answer
   x = 1,226.22