Finding the Third Proportional to 575.86 and 865.69

Step by Step Solution

1. Step 1: Write the proportion equation
   575.86 : 865.69 = 865.69 : x
2. Step 2: Convert to fraction form
   575.86/865.69 = 865.69/x
3. Step 3: Cross multiply
   575.86x = 865.69 × 865.69
4. Step 4: Simplify right side
   575.86x = 749,414.85
5. Step 5: Solve for x
   x = 749,414.85/575.86
6. Step 6: Final answer
   x = 1,301.39