Finding the Third Proportional to 383.25 and 410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   383.25 : 410.25 = 410.25 : x
2. Step 2: Convert to fraction form
   383.25/410.25 = 410.25/x
3. Step 3: Cross multiply
   383.25x = 410.25 × 410.25
4. Step 4: Simplify right side
   383.25x = 168,305.06
5. Step 5: Solve for x
   x = 168,305.06/383.25
6. Step 6: Final answer
   x = 439.15