Finding the Third Proportional to 1,072.69 and 1,185.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.69 : 1,185.19 = 1,185.19 : x
2. Step 2: Convert to fraction form
   1,072.69/1,185.19 = 1,185.19/x
3. Step 3: Cross multiply
   1,072.69x = 1,185.19 × 1,185.19
4. Step 4: Simplify right side
   1,072.69x = 1,404,669.41
5. Step 5: Solve for x
   x = 1,404,669.41/1,072.69
6. Step 6: Final answer
   x = 1,309.49