Finding the Third Proportional to 196.56 and 294.94

Step by Step Solution

1. Step 1: Write the proportion equation
   196.56 : 294.94 = 294.94 : x
2. Step 2: Convert to fraction form
   196.56/294.94 = 294.94/x
3. Step 3: Cross multiply
   196.56x = 294.94 × 294.94
4. Step 4: Simplify right side
   196.56x = 86,988.13
5. Step 5: Solve for x
   x = 86,988.13/196.56
6. Step 6: Final answer
   x = 442.55