Finding the Third Proportional to 259.59 and 574.59

Step by Step Solution

1. Step 1: Write the proportion equation
   259.59 : 574.59 = 574.59 : x
2. Step 2: Convert to fraction form
   259.59/574.59 = 574.59/x
3. Step 3: Cross multiply
   259.59x = 574.59 × 574.59
4. Step 4: Simplify right side
   259.59x = 330,157.98
5. Step 5: Solve for x
   x = 330,157.98/259.59
6. Step 6: Final answer
   x = 1,271.83