Finding the Third Proportional to 196.59 and 294.05

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 294.05 = 294.05 : x
2. Step 2: Convert to fraction form
   196.59/294.05 = 294.05/x
3. Step 3: Cross multiply
   196.59x = 294.05 × 294.05
4. Step 4: Simplify right side
   196.59x = 86,463.56
5. Step 5: Solve for x
   x = 86,463.56/196.59
6. Step 6: Final answer
   x = 439.81