Finding the Third Proportional to 578.25 and 1,116

Step by Step Solution

1. Step 1: Write the proportion equation
   578.25 : 1,116 = 1,116 : x
2. Step 2: Convert to fraction form
   578.25/1,116 = 1,116/x
3. Step 3: Cross multiply
   578.25x = 1,116 × 1,116
4. Step 4: Simplify right side
   578.25x = 1,245,456
5. Step 5: Solve for x
   x = 1,245,456/578.25
6. Step 6: Final answer
   x = 2,153.84