Finding the Third Proportional to 395.03 and 578.27

Step by Step Solution

1. Step 1: Write the proportion equation
   395.03 : 578.27 = 578.27 : x
2. Step 2: Convert to fraction form
   395.03/578.27 = 578.27/x
3. Step 3: Cross multiply
   395.03x = 578.27 × 578.27
4. Step 4: Simplify right side
   395.03x = 334,398.47
5. Step 5: Solve for x
   x = 334,398.47/395.03
6. Step 6: Final answer
   x = 846.51