Finding the Third Proportional to 578.53 and 1,259.72

Step by Step Solution

1. Step 1: Write the proportion equation
   578.53 : 1,259.72 = 1,259.72 : x
2. Step 2: Convert to fraction form
   578.53/1,259.72 = 1,259.72/x
3. Step 3: Cross multiply
   578.53x = 1,259.72 × 1,259.72
4. Step 4: Simplify right side
   578.53x = 1,586,891.33
5. Step 5: Solve for x
   x = 1,586,891.33/578.53
6. Step 6: Final answer
   x = 2,742.97