Finding the Third Proportional to 578.50 and 1,260

Step by Step Solution

1. Step 1: Write the proportion equation
   578.50 : 1,260 = 1,260 : x
2. Step 2: Convert to fraction form
   578.50/1,260 = 1,260/x
3. Step 3: Cross multiply
   578.50x = 1,260 × 1,260
4. Step 4: Simplify right side
   578.50x = 1,587,600
5. Step 5: Solve for x
   x = 1,587,600/578.50
6. Step 6: Final answer
   x = 2,744.34