Finding the Third Proportional to 269.31 and 581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   269.31 : 581.69 = 581.69 : x
2. Step 2: Convert to fraction form
   269.31/581.69 = 581.69/x
3. Step 3: Cross multiply
   269.31x = 581.69 × 581.69
4. Step 4: Simplify right side
   269.31x = 338,360.35
5. Step 5: Solve for x
   x = 338,360.35/269.31
6. Step 6: Final answer
   x = 1,256.39