Finding the Third Proportional to 298.06 and 700.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298.06 : 700.69 = 700.69 : x
2. Step 2: Convert to fraction form
   298.06/700.69 = 700.69/x
3. Step 3: Cross multiply
   298.06x = 700.69 × 700.69
4. Step 4: Simplify right side
   298.06x = 490,962.97
5. Step 5: Solve for x
   x = 490,962.97/298.06
6. Step 6: Final answer
   x = 1,647.18