Finding the Third Proportional to 196.69 and 459.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.69 : 459.38 = 459.38 : x
2. Step 2: Convert to fraction form
   196.69/459.38 = 459.38/x
3. Step 3: Cross multiply
   196.69x = 459.38 × 459.38
4. Step 4: Simplify right side
   196.69x = 211,025.39
5. Step 5: Solve for x
   x = 211,025.39/196.69
6. Step 6: Final answer
   x = 1,072.90