Finding the Third Proportional to 1,072.69 and 1,177.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.69 : 1,177.31 = 1,177.31 : x
2. Step 2: Convert to fraction form
   1,072.69/1,177.31 = 1,177.31/x
3. Step 3: Cross multiply
   1,072.69x = 1,177.31 × 1,177.31
4. Step 4: Simplify right side
   1,072.69x = 1,386,064.72
5. Step 5: Solve for x
   x = 1,386,064.72/1,072.69
6. Step 6: Final answer
   x = 1,292.14