Finding the Third Proportional to 516.94 and 1,178.72

Step by Step Solution

1. Step 1: Write the proportion equation
   516.94 : 1,178.72 = 1,178.72 : x
2. Step 2: Convert to fraction form
   516.94/1,178.72 = 1,178.72/x
3. Step 3: Cross multiply
   516.94x = 1,178.72 × 1,178.72
4. Step 4: Simplify right side
   516.94x = 1,389,377.89
5. Step 5: Solve for x
   x = 1,389,377.89/516.94
6. Step 6: Final answer
   x = 2,687.71