Finding the Third Proportional to 65.69 and 144.31

Step by Step Solution

1. Step 1: Write the proportion equation
   65.69 : 144.31 = 144.31 : x
2. Step 2: Convert to fraction form
   65.69/144.31 = 144.31/x
3. Step 3: Cross multiply
   65.69x = 144.31 × 144.31
4. Step 4: Simplify right side
   65.69x = 20,826.10
5. Step 5: Solve for x
   x = 20,826.10/65.69
6. Step 6: Final answer
   x = 317.05