Finding the Third Proportional to 569.89 and 863.31

Step by Step Solution

1. Step 1: Write the proportion equation
   569.89 : 863.31 = 863.31 : x
2. Step 2: Convert to fraction form
   569.89/863.31 = 863.31/x
3. Step 3: Cross multiply
   569.89x = 863.31 × 863.31
4. Step 4: Simplify right side
   569.89x = 745,311.84
5. Step 5: Solve for x
   x = 745,311.84/569.89
6. Step 6: Final answer
   x = 1,307.82