Finding the Third Proportional to 259.25 and 561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   259.25 : 561.25 = 561.25 : x
2. Step 2: Convert to fraction form
   259.25/561.25 = 561.25/x
3. Step 3: Cross multiply
   259.25x = 561.25 × 561.25
4. Step 4: Simplify right side
   259.25x = 315,001.56
5. Step 5: Solve for x
   x = 315,001.56/259.25
6. Step 6: Final answer
   x = 1,215.05