Finding the Third Proportional to 325.78 and 711.89

Step by Step Solution

1. Step 1: Write the proportion equation
   325.78 : 711.89 = 711.89 : x
2. Step 2: Convert to fraction form
   325.78/711.89 = 711.89/x
3. Step 3: Cross multiply
   325.78x = 711.89 × 711.89
4. Step 4: Simplify right side
   325.78x = 506,788.26
5. Step 5: Solve for x
   x = 506,788.26/325.78
6. Step 6: Final answer
   x = 1,555.61