Finding the Third Proportional to 196.50 and 321.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 321.75 = 321.75 : x
2. Step 2: Convert to fraction form
   196.50/321.75 = 321.75/x
3. Step 3: Cross multiply
   196.50x = 321.75 × 321.75
4. Step 4: Simplify right side
   196.50x = 103,523.06
5. Step 5: Solve for x
   x = 103,523.06/196.50
6. Step 6: Final answer
   x = 526.83