Finding the Third Proportional to 496.69 and 550.69

Step by Step Solution

1. Step 1: Write the proportion equation
   496.69 : 550.69 = 550.69 : x
2. Step 2: Convert to fraction form
   496.69/550.69 = 550.69/x
3. Step 3: Cross multiply
   496.69x = 550.69 × 550.69
4. Step 4: Simplify right side
   496.69x = 303,256.72
5. Step 5: Solve for x
   x = 303,256.72/496.69
6. Step 6: Final answer
   x = 610.56