Finding the Third Proportional to 514.13 and 1,188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   514.13 : 1,188.56 = 1,188.56 : x
2. Step 2: Convert to fraction form
   514.13/1,188.56 = 1,188.56/x
3. Step 3: Cross multiply
   514.13x = 1,188.56 × 1,188.56
4. Step 4: Simplify right side
   514.13x = 1,412,680.82
5. Step 5: Solve for x
   x = 1,412,680.82/514.13
6. Step 6: Final answer
   x = 2,747.74