Finding the Third Proportional to 514.69 and 1,109.81

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 1,109.81 = 1,109.81 : x
2. Step 2: Convert to fraction form
   514.69/1,109.81 = 1,109.81/x
3. Step 3: Cross multiply
   514.69x = 1,109.81 × 1,109.81
4. Step 4: Simplify right side
   514.69x = 1,231,683.79
5. Step 5: Solve for x
   x = 1,231,683.79/514.69
6. Step 6: Final answer
   x = 2,393.07