Finding the Third Proportional to 65,618 and 144,772

Step by Step Solution

1. Step 1: Write the proportion equation
   65,618 : 144,772 = 144,772 : x
2. Step 2: Convert to fraction form
   65,618/144,772 = 144,772/x
3. Step 3: Cross multiply
   65,618x = 144,772 × 144,772
4. Step 4: Simplify right side
   65,618x = 20,958,931,984
5. Step 5: Solve for x
   x = 20,958,931,984/65,618
6. Step 6: Final answer
   x = 319,408.27