Finding the Third Proportional to 578.25 and 809.72

Step by Step Solution

1. Step 1: Write the proportion equation
   578.25 : 809.72 = 809.72 : x
2. Step 2: Convert to fraction form
   578.25/809.72 = 809.72/x
3. Step 3: Cross multiply
   578.25x = 809.72 × 809.72
4. Step 4: Simplify right side
   578.25x = 655,644.45
5. Step 5: Solve for x
   x = 655,644.45/578.25
6. Step 6: Final answer
   x = 1,133.84