Finding the Third Proportional to 417.75 and 567.38

Step by Step Solution

1. Step 1: Write the proportion equation
   417.75 : 567.38 = 567.38 : x
2. Step 2: Convert to fraction form
   417.75/567.38 = 567.38/x
3. Step 3: Cross multiply
   417.75x = 567.38 × 567.38
4. Step 4: Simplify right side
   417.75x = 321,914.39
5. Step 5: Solve for x
   x = 321,914.39/417.75
6. Step 6: Final answer
   x = 770.59