Finding the Third Proportional to 196.69 and 311.06

Step by Step Solution

1. Step 1: Write the proportion equation
   196.69 : 311.06 = 311.06 : x
2. Step 2: Convert to fraction form
   196.69/311.06 = 311.06/x
3. Step 3: Cross multiply
   196.69x = 311.06 × 311.06
4. Step 4: Simplify right side
   196.69x = 96,759.88
5. Step 5: Solve for x
   x = 96,759.88/196.69
6. Step 6: Final answer
   x = 491.95