Finding the Third Proportional to 417.38 and 568.69

Step by Step Solution

1. Step 1: Write the proportion equation
   417.38 : 568.69 = 568.69 : x
2. Step 2: Convert to fraction form
   417.38/568.69 = 568.69/x
3. Step 3: Cross multiply
   417.38x = 568.69 × 568.69
4. Step 4: Simplify right side
   417.38x = 323,405.47
5. Step 5: Solve for x
   x = 323,405.47/417.38
6. Step 6: Final answer
   x = 774.86