Finding the Third Proportional to 401.41 and 578.39

Step by Step Solution

1. Step 1: Write the proportion equation
   401.41 : 578.39 = 578.39 : x
2. Step 2: Convert to fraction form
   401.41/578.39 = 578.39/x
3. Step 3: Cross multiply
   401.41x = 578.39 × 578.39
4. Step 4: Simplify right side
   401.41x = 334,535.72
5. Step 5: Solve for x
   x = 334,535.72/401.41
6. Step 6: Final answer
   x = 833.39