Finding the Third Proportional to 350 and 380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350 : 380.50 = 380.50 : x
2. Step 2: Convert to fraction form
   350/380.50 = 380.50/x
3. Step 3: Cross multiply
   350x = 380.50 × 380.50
4. Step 4: Simplify right side
   350x = 144,780.25
5. Step 5: Solve for x
   x = 144,780.25/350
6. Step 6: Final answer
   x = 413.66