Finding the Third Proportional to 410.75 and 569.38

Step by Step Solution

1. Step 1: Write the proportion equation
   410.75 : 569.38 = 569.38 : x
2. Step 2: Convert to fraction form
   410.75/569.38 = 569.38/x
3. Step 3: Cross multiply
   410.75x = 569.38 × 569.38
4. Step 4: Simplify right side
   410.75x = 324,187.89
5. Step 5: Solve for x
   x = 324,187.89/410.75
6. Step 6: Final answer
   x = 789.26