Finding the Third Proportional to 119.81 and 259.59

Step by Step Solution

1. Step 1: Write the proportion equation
   119.81 : 259.59 = 259.59 : x
2. Step 2: Convert to fraction form
   119.81/259.59 = 259.59/x
3. Step 3: Cross multiply
   119.81x = 259.59 × 259.59
4. Step 4: Simplify right side
   119.81x = 67,388.92
5. Step 5: Solve for x
   x = 67,388.92/119.81
6. Step 6: Final answer
   x = 562.45