Finding the Third Proportional to 298.69 and 556.88

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 556.88 = 556.88 : x
2. Step 2: Convert to fraction form
   298.69/556.88 = 556.88/x
3. Step 3: Cross multiply
   298.69x = 556.88 × 556.88
4. Step 4: Simplify right side
   298.69x = 310,109.77
5. Step 5: Solve for x
   x = 310,109.77/298.69
6. Step 6: Final answer
   x = 1,038.24