Finding the Third Proportional to 506.88 and 1,076.41

Step by Step Solution

1. Step 1: Write the proportion equation
   506.88 : 1,076.41 = 1,076.41 : x
2. Step 2: Convert to fraction form
   506.88/1,076.41 = 1,076.41/x
3. Step 3: Cross multiply
   506.88x = 1,076.41 × 1,076.41
4. Step 4: Simplify right side
   506.88x = 1,158,667.23
5. Step 5: Solve for x
   x = 1,158,667.23/506.88
6. Step 6: Final answer
   x = 2,285.87