Finding the Third Proportional to 196.75 and 216.63

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 216.63 = 216.63 : x
2. Step 2: Convert to fraction form
   196.75/216.63 = 216.63/x
3. Step 3: Cross multiply
   196.75x = 216.63 × 216.63
4. Step 4: Simplify right side
   196.75x = 46,926.39
5. Step 5: Solve for x
   x = 46,926.39/196.75
6. Step 6: Final answer
   x = 238.51