Finding the Third Proportional to 1,198.25 and 1,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.25 : 1,754.50 = 1,754.50 : x
2. Step 2: Convert to fraction form
   1,198.25/1,754.50 = 1,754.50/x
3. Step 3: Cross multiply
   1,198.25x = 1,754.50 × 1,754.50
4. Step 4: Simplify right side
   1,198.25x = 3,078,270.25
5. Step 5: Solve for x
   x = 3,078,270.25/1,198.25
6. Step 6: Final answer
   x = 2,568.97