Finding the Third Proportional to 440.25 and 559.38

Step by Step Solution

1. Step 1: Write the proportion equation
   440.25 : 559.38 = 559.38 : x
2. Step 2: Convert to fraction form
   440.25/559.38 = 559.38/x
3. Step 3: Cross multiply
   440.25x = 559.38 × 559.38
4. Step 4: Simplify right side
   440.25x = 312,900.39
5. Step 5: Solve for x
   x = 312,900.39/440.25
6. Step 6: Final answer
   x = 710.73