Finding the Third Proportional to 196.13 and 295.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196.13 : 295.69 = 295.69 : x
2. Step 2: Convert to fraction form
   196.13/295.69 = 295.69/x
3. Step 3: Cross multiply
   196.13x = 295.69 × 295.69
4. Step 4: Simplify right side
   196.13x = 87,431.10
5. Step 5: Solve for x
   x = 87,431.10/196.13
6. Step 6: Final answer
   x = 445.79