Finding the Third Proportional to 885.94 and 1,180.69

Step by Step Solution

1. Step 1: Write the proportion equation
   885.94 : 1,180.69 = 1,180.69 : x
2. Step 2: Convert to fraction form
   885.94/1,180.69 = 1,180.69/x
3. Step 3: Cross multiply
   885.94x = 1,180.69 × 1,180.69
4. Step 4: Simplify right side
   885.94x = 1,394,022.97
5. Step 5: Solve for x
   x = 1,394,022.97/885.94
6. Step 6: Final answer
   x = 1,573.50