Finding the Third Proportional to 583.59 and 863.86

Step by Step Solution

1. Step 1: Write the proportion equation
   583.59 : 863.86 = 863.86 : x
2. Step 2: Convert to fraction form
   583.59/863.86 = 863.86/x
3. Step 3: Cross multiply
   583.59x = 863.86 × 863.86
4. Step 4: Simplify right side
   583.59x = 746,253.02
5. Step 5: Solve for x
   x = 746,253.02/583.59
6. Step 6: Final answer
   x = 1,278.72