Finding the Third Proportional to 490.78 and 1,066.78

Step by Step Solution

1. Step 1: Write the proportion equation
   490.78 : 1,066.78 = 1,066.78 : x
2. Step 2: Convert to fraction form
   490.78/1,066.78 = 1,066.78/x
3. Step 3: Cross multiply
   490.78x = 1,066.78 × 1,066.78
4. Step 4: Simplify right side
   490.78x = 1,138,022.24
5. Step 5: Solve for x
   x = 1,138,022.24/490.78
6. Step 6: Final answer
   x = 2,318.80