Finding the Third Proportional to 490.78 and 1,038.38

Step by Step Solution

1. Step 1: Write the proportion equation
   490.78 : 1,038.38 = 1,038.38 : x
2. Step 2: Convert to fraction form
   490.78/1,038.38 = 1,038.38/x
3. Step 3: Cross multiply
   490.78x = 1,038.38 × 1,038.38
4. Step 4: Simplify right side
   490.78x = 1,078,222.64
5. Step 5: Solve for x
   x = 1,078,222.64/490.78
6. Step 6: Final answer
   x = 2,196.95