Finding the Third Proportional to 391.50 and 403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   391.50 : 403.50 = 403.50 : x
2. Step 2: Convert to fraction form
   391.50/403.50 = 403.50/x
3. Step 3: Cross multiply
   391.50x = 403.50 × 403.50
4. Step 4: Simplify right side
   391.50x = 162,812.25
5. Step 5: Solve for x
   x = 162,812.25/391.50
6. Step 6: Final answer
   x = 415.87