Finding the Third Proportional to 569.25 and 856.69

Step by Step Solution

1. Step 1: Write the proportion equation
   569.25 : 856.69 = 856.69 : x
2. Step 2: Convert to fraction form
   569.25/856.69 = 856.69/x
3. Step 3: Cross multiply
   569.25x = 856.69 × 856.69
4. Step 4: Simplify right side
   569.25x = 733,913.47
5. Step 5: Solve for x
   x = 733,913.47/569.25
6. Step 6: Final answer
   x = 1,289.26