Finding the Third Proportional to 196.45 and 294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.45 : 294.75 = 294.75 : x
2. Step 2: Convert to fraction form
   196.45/294.75 = 294.75/x
3. Step 3: Cross multiply
   196.45x = 294.75 × 294.75
4. Step 4: Simplify right side
   196.45x = 86,877.56
5. Step 5: Solve for x
   x = 86,877.56/196.45
6. Step 6: Final answer
   x = 442.23