Finding the Third Proportional to 326.41 and 685.22

Step by Step Solution

1. Step 1: Write the proportion equation
   326.41 : 685.22 = 685.22 : x
2. Step 2: Convert to fraction form
   326.41/685.22 = 685.22/x
3. Step 3: Cross multiply
   326.41x = 685.22 × 685.22
4. Step 4: Simplify right side
   326.41x = 469,522.73
5. Step 5: Solve for x
   x = 469,522.73/326.41
6. Step 6: Final answer
   x = 1,438.43