Finding the Third Proportional to 1,144.13 and 1,279.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.13 : 1,279.31 = 1,279.31 : x
2. Step 2: Convert to fraction form
   1,144.13/1,279.31 = 1,279.31/x
3. Step 3: Cross multiply
   1,144.13x = 1,279.31 × 1,279.31
4. Step 4: Simplify right side
   1,144.13x = 1,636,640.47
5. Step 5: Solve for x
   x = 1,636,640.47/1,144.13
6. Step 6: Final answer
   x = 1,430.47