Finding the Third Proportional to 296.81 and 442.78

Step by Step Solution

1. Step 1: Write the proportion equation
   296.81 : 442.78 = 442.78 : x
2. Step 2: Convert to fraction form
   296.81/442.78 = 442.78/x
3. Step 3: Cross multiply
   296.81x = 442.78 × 442.78
4. Step 4: Simplify right side
   296.81x = 196,055.24
5. Step 5: Solve for x
   x = 196,055.24/296.81
6. Step 6: Final answer
   x = 660.54