Finding the Third Proportional to 522.56 and 1,147.78

Step by Step Solution

1. Step 1: Write the proportion equation
   522.56 : 1,147.78 = 1,147.78 : x
2. Step 2: Convert to fraction form
   522.56/1,147.78 = 1,147.78/x
3. Step 3: Cross multiply
   522.56x = 1,147.78 × 1,147.78
4. Step 4: Simplify right side
   522.56x = 1,317,401.80
5. Step 5: Solve for x
   x = 1,317,401.80/522.56
6. Step 6: Final answer
   x = 2,521.04