Finding the Third Proportional to 261.75 and 573.89

Step by Step Solution

1. Step 1: Write the proportion equation
   261.75 : 573.89 = 573.89 : x
2. Step 2: Convert to fraction form
   261.75/573.89 = 573.89/x
3. Step 3: Cross multiply
   261.75x = 573.89 × 573.89
4. Step 4: Simplify right side
   261.75x = 329,350.45
5. Step 5: Solve for x
   x = 329,350.45/261.75
6. Step 6: Final answer
   x = 1,258.26