Finding the Third Proportional to 294.50 and 416.75

Step by Step Solution

1. Step 1: Write the proportion equation
   294.50 : 416.75 = 416.75 : x
2. Step 2: Convert to fraction form
   294.50/416.75 = 416.75/x
3. Step 3: Cross multiply
   294.50x = 416.75 × 416.75
4. Step 4: Simplify right side
   294.50x = 173,680.56
5. Step 5: Solve for x
   x = 173,680.56/294.50
6. Step 6: Final answer
   x = 589.75