Finding the Third Proportional to 1,079.44 and 1,178.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,079.44 : 1,178.72 = 1,178.72 : x
2. Step 2: Convert to fraction form
   1,079.44/1,178.72 = 1,178.72/x
3. Step 3: Cross multiply
   1,079.44x = 1,178.72 × 1,178.72
4. Step 4: Simplify right side
   1,079.44x = 1,389,377.89
5. Step 5: Solve for x
   x = 1,389,377.89/1,079.44
6. Step 6: Final answer
   x = 1,287.13