Finding the Third Proportional to 514.69 and 1,114.88

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 1,114.88 = 1,114.88 : x
2. Step 2: Convert to fraction form
   514.69/1,114.88 = 1,114.88/x
3. Step 3: Cross multiply
   514.69x = 1,114.88 × 1,114.88
4. Step 4: Simplify right side
   514.69x = 1,242,946.27
5. Step 5: Solve for x
   x = 1,242,946.27/514.69
6. Step 6: Final answer
   x = 2,414.95