Finding the Third Proportional to 502.88 and 1,097.72

Step by Step Solution

1. Step 1: Write the proportion equation
   502.88 : 1,097.72 = 1,097.72 : x
2. Step 2: Convert to fraction form
   502.88/1,097.72 = 1,097.72/x
3. Step 3: Cross multiply
   502.88x = 1,097.72 × 1,097.72
4. Step 4: Simplify right side
   502.88x = 1,204,986.45
5. Step 5: Solve for x
   x = 1,204,986.45/502.88
6. Step 6: Final answer
   x = 2,396.19