Finding the Third Proportional to 565.59 and 862.59

Step by Step Solution

1. Step 1: Write the proportion equation
   565.59 : 862.59 = 862.59 : x
2. Step 2: Convert to fraction form
   565.59/862.59 = 862.59/x
3. Step 3: Cross multiply
   565.59x = 862.59 × 862.59
4. Step 4: Simplify right side
   565.59x = 744,067.98
5. Step 5: Solve for x
   x = 744,067.98/565.59
6. Step 6: Final answer
   x = 1,315.55