Finding the Third Proportional to 296.72 and 693.28

Step by Step Solution

1. Step 1: Write the proportion equation
   296.72 : 693.28 = 693.28 : x
2. Step 2: Convert to fraction form
   296.72/693.28 = 693.28/x
3. Step 3: Cross multiply
   296.72x = 693.28 × 693.28
4. Step 4: Simplify right side
   296.72x = 480,638.89
5. Step 5: Solve for x
   x = 480,638.89/296.72
6. Step 6: Final answer
   x = 1,619.85