Finding the Third Proportional to 196.59 and 464.48

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 464.48 = 464.48 : x
2. Step 2: Convert to fraction form
   196.59/464.48 = 464.48/x
3. Step 3: Cross multiply
   196.59x = 464.48 × 464.48
4. Step 4: Simplify right side
   196.59x = 215,745.73
5. Step 5: Solve for x
   x = 215,745.73/196.59
6. Step 6: Final answer
   x = 1,097.42