Finding the Third Proportional to 196.50 and 216.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 216.75 = 216.75 : x
2. Step 2: Convert to fraction form
   196.50/216.75 = 216.75/x
3. Step 3: Cross multiply
   196.50x = 216.75 × 216.75
4. Step 4: Simplify right side
   196.50x = 46,980.56
5. Step 5: Solve for x
   x = 46,980.56/196.50
6. Step 6: Final answer
   x = 239.09