Finding the Third Proportional to 508.78 and 1,150.45

Step by Step Solution

1. Step 1: Write the proportion equation
   508.78 : 1,150.45 = 1,150.45 : x
2. Step 2: Convert to fraction form
   508.78/1,150.45 = 1,150.45/x
3. Step 3: Cross multiply
   508.78x = 1,150.45 × 1,150.45
4. Step 4: Simplify right side
   508.78x = 1,323,542.39
5. Step 5: Solve for x
   x = 1,323,542.39/508.78
6. Step 6: Final answer
   x = 2,601.40