Finding the Third Proportional to 1,144.78 and 1,286.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.78 : 1,286.06 = 1,286.06 : x
2. Step 2: Convert to fraction form
   1,144.78/1,286.06 = 1,286.06/x
3. Step 3: Cross multiply
   1,144.78x = 1,286.06 × 1,286.06
4. Step 4: Simplify right side
   1,144.78x = 1,653,956.75
5. Step 5: Solve for x
   x = 1,653,956.75/1,144.78
6. Step 6: Final answer
   x = 1,444.78