Finding the Third Proportional to 67,920 and 144,144

Step by Step Solution

1. Step 1: Write the proportion equation
   67,920 : 144,144 = 144,144 : x
2. Step 2: Convert to fraction form
   67,920/144,144 = 144,144/x
3. Step 3: Cross multiply
   67,920x = 144,144 × 144,144
4. Step 4: Simplify right side
   67,920x = 20,777,492,736
5. Step 5: Solve for x
   x = 20,777,492,736/67,920
6. Step 6: Final answer
   x = 305,911.26