Finding the Third Proportional to 105.50 and 208.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 208.75 = 208.75 : x
2. Step 2: Convert to fraction form
   105.50/208.75 = 208.75/x
3. Step 3: Cross multiply
   105.50x = 208.75 × 208.75
4. Step 4: Simplify right side
   105.50x = 43,576.56
5. Step 5: Solve for x
   x = 43,576.56/105.50
6. Step 6: Final answer
   x = 413.05