Finding the Third Proportional to 65.34 and 144.47

Step by Step Solution

1. Step 1: Write the proportion equation
   65.34 : 144.47 = 144.47 : x
2. Step 2: Convert to fraction form
   65.34/144.47 = 144.47/x
3. Step 3: Cross multiply
   65.34x = 144.47 × 144.47
4. Step 4: Simplify right side
   65.34x = 20,871.22
5. Step 5: Solve for x
   x = 20,871.22/65.34
6. Step 6: Final answer
   x = 319.41