Finding the Third Proportional to 514.27 and 1,111.64

Step by Step Solution

1. Step 1: Write the proportion equation
   514.27 : 1,111.64 = 1,111.64 : x
2. Step 2: Convert to fraction form
   514.27/1,111.64 = 1,111.64/x
3. Step 3: Cross multiply
   514.27x = 1,111.64 × 1,111.64
4. Step 4: Simplify right side
   514.27x = 1,235,744.88
5. Step 5: Solve for x
   x = 1,235,744.88/514.27
6. Step 6: Final answer
   x = 2,402.93