Finding the Third Proportional to 265.78 and 582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   265.78 : 582.82 = 582.82 : x
2. Step 2: Convert to fraction form
   265.78/582.82 = 582.82/x
3. Step 3: Cross multiply
   265.78x = 582.82 × 582.82
4. Step 4: Simplify right side
   265.78x = 339,679.52
5. Step 5: Solve for x
   x = 339,679.52/265.78
6. Step 6: Final answer
   x = 1,278.04