Finding the Third Proportional to 196.88 and 426.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 426.38 = 426.38 : x
2. Step 2: Convert to fraction form
   196.88/426.38 = 426.38/x
3. Step 3: Cross multiply
   196.88x = 426.38 × 426.38
4. Step 4: Simplify right side
   196.88x = 181,795.64
5. Step 5: Solve for x
   x = 181,795.64/196.88
6. Step 6: Final answer
   x = 923.41