Finding the Third Proportional to 196.59 and 295.31

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 295.31 = 295.31 : x
2. Step 2: Convert to fraction form
   196.59/295.31 = 295.31/x
3. Step 3: Cross multiply
   196.59x = 295.31 × 295.31
4. Step 4: Simplify right side
   196.59x = 87,209.47
5. Step 5: Solve for x
   x = 87,209.47/196.59
6. Step 6: Final answer
   x = 443.60