Finding the Third Proportional to 109.75 and 259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.75 : 259.25 = 259.25 : x
2. Step 2: Convert to fraction form
   109.75/259.25 = 259.25/x
3. Step 3: Cross multiply
   109.75x = 259.25 × 259.25
4. Step 4: Simplify right side
   109.75x = 67,210.56
5. Step 5: Solve for x
   x = 67,210.56/109.75
6. Step 6: Final answer
   x = 612.40