Finding the Third Proportional to 339.50 and 378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339.50 : 378.50 = 378.50 : x
2. Step 2: Convert to fraction form
   339.50/378.50 = 378.50/x
3. Step 3: Cross multiply
   339.50x = 378.50 × 378.50
4. Step 4: Simplify right side
   339.50x = 143,262.25
5. Step 5: Solve for x
   x = 143,262.25/339.50
6. Step 6: Final answer
   x = 421.98