Finding the Third Proportional to 579.50 and 858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   579.50 : 858.50 = 858.50 : x
2. Step 2: Convert to fraction form
   579.50/858.50 = 858.50/x
3. Step 3: Cross multiply
   579.50x = 858.50 × 858.50
4. Step 4: Simplify right side
   579.50x = 737,022.25
5. Step 5: Solve for x
   x = 737,022.25/579.50
6. Step 6: Final answer
   x = 1,271.82