Finding the Third Proportional to 464.50 and 518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   464.50 : 518.50 = 518.50 : x
2. Step 2: Convert to fraction form
   464.50/518.50 = 518.50/x
3. Step 3: Cross multiply
   464.50x = 518.50 × 518.50
4. Step 4: Simplify right side
   464.50x = 268,842.25
5. Step 5: Solve for x
   x = 268,842.25/464.50
6. Step 6: Final answer
   x = 578.78