Finding the Third Proportional to 480.78 and 1,150.69

Step by Step Solution

1. Step 1: Write the proportion equation
   480.78 : 1,150.69 = 1,150.69 : x
2. Step 2: Convert to fraction form
   480.78/1,150.69 = 1,150.69/x
3. Step 3: Cross multiply
   480.78x = 1,150.69 × 1,150.69
4. Step 4: Simplify right side
   480.78x = 1,324,088.46
5. Step 5: Solve for x
   x = 1,324,088.46/480.78
6. Step 6: Final answer
   x = 2,754.05