Finding the Third Proportional to 573.38 and 862.69

Step by Step Solution

1. Step 1: Write the proportion equation
   573.38 : 862.69 = 862.69 : x
2. Step 2: Convert to fraction form
   573.38/862.69 = 862.69/x
3. Step 3: Cross multiply
   573.38x = 862.69 × 862.69
4. Step 4: Simplify right side
   573.38x = 744,229.72
5. Step 5: Solve for x
   x = 744,229.72/573.38
6. Step 6: Final answer
   x = 1,297.98