Finding the Third Proportional to 144.86 and 317.09

Step by Step Solution

1. Step 1: Write the proportion equation
   144.86 : 317.09 = 317.09 : x
2. Step 2: Convert to fraction form
   144.86/317.09 = 317.09/x
3. Step 3: Cross multiply
   144.86x = 317.09 × 317.09
4. Step 4: Simplify right side
   144.86x = 100,547.21
5. Step 5: Solve for x
   x = 100,547.21/144.86
6. Step 6: Final answer
   x = 694.09