Finding the Third Proportional to 144,288 and 205,920

Step by Step Solution

1. Step 1: Write the proportion equation
   144,288 : 205,920 = 205,920 : x
2. Step 2: Convert to fraction form
   144,288/205,920 = 205,920/x
3. Step 3: Cross multiply
   144,288x = 205,920 × 205,920
4. Step 4: Simplify right side
   144,288x = 42,403,046,400
5. Step 5: Solve for x
   x = 42,403,046,400/144,288
6. Step 6: Final answer
   x = 293,877.84