Finding the Third Proportional to 519.75 and 1,109.53

Step by Step Solution

1. Step 1: Write the proportion equation
   519.75 : 1,109.53 = 1,109.53 : x
2. Step 2: Convert to fraction form
   519.75/1,109.53 = 1,109.53/x
3. Step 3: Cross multiply
   519.75x = 1,109.53 × 1,109.53
4. Step 4: Simplify right side
   519.75x = 1,231,059.59
5. Step 5: Solve for x
   x = 1,231,059.59/519.75
6. Step 6: Final answer
   x = 2,368.56