Finding the Third Proportional to 111.50 and 195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 195.50 = 195.50 : x
2. Step 2: Convert to fraction form
   111.50/195.50 = 195.50/x
3. Step 3: Cross multiply
   111.50x = 195.50 × 195.50
4. Step 4: Simplify right side
   111.50x = 38,220.25
5. Step 5: Solve for x
   x = 38,220.25/111.50
6. Step 6: Final answer
   x = 342.78