Finding the Third Proportional to 109,920 and 240,144

Step by Step Solution

1. Step 1: Write the proportion equation
   109,920 : 240,144 = 240,144 : x
2. Step 2: Convert to fraction form
   109,920/240,144 = 240,144/x
3. Step 3: Cross multiply
   109,920x = 240,144 × 240,144
4. Step 4: Simplify right side
   109,920x = 57,669,140,736
5. Step 5: Solve for x
   x = 57,669,140,736/109,920
6. Step 6: Final answer
   x = 524,646.48