Finding the Third Proportional to 510.75 and 550.69

Step by Step Solution

1. Step 1: Write the proportion equation
   510.75 : 550.69 = 550.69 : x
2. Step 2: Convert to fraction form
   510.75/550.69 = 550.69/x
3. Step 3: Cross multiply
   510.75x = 550.69 × 550.69
4. Step 4: Simplify right side
   510.75x = 303,256.72
5. Step 5: Solve for x
   x = 303,256.72/510.75
6. Step 6: Final answer
   x = 593.75