Finding the Third Proportional to 327.64 and 712.78

Step by Step Solution

1. Step 1: Write the proportion equation
   327.64 : 712.78 = 712.78 : x
2. Step 2: Convert to fraction form
   327.64/712.78 = 712.78/x
3. Step 3: Cross multiply
   327.64x = 712.78 × 712.78
4. Step 4: Simplify right side
   327.64x = 508,061.29
5. Step 5: Solve for x
   x = 508,061.29/327.64
6. Step 6: Final answer
   x = 1,550.68