Finding the Third Proportional to 196.50 and 423.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 423.38 = 423.38 : x
2. Step 2: Convert to fraction form
   196.50/423.38 = 423.38/x
3. Step 3: Cross multiply
   196.50x = 423.38 × 423.38
4. Step 4: Simplify right side
   196.50x = 179,246.39
5. Step 5: Solve for x
   x = 179,246.39/196.50
6. Step 6: Final answer
   x = 912.20