Finding the Third Proportional to 524.25 and 771.89

Step by Step Solution

1. Step 1: Write the proportion equation
   524.25 : 771.89 = 771.89 : x
2. Step 2: Convert to fraction form
   524.25/771.89 = 771.89/x
3. Step 3: Cross multiply
   524.25x = 771.89 × 771.89
4. Step 4: Simplify right side
   524.25x = 595,815.14
5. Step 5: Solve for x
   x = 595,815.14/524.25
6. Step 6: Final answer
   x = 1,136.51