Finding the Third Proportional to 69,504 and 144,864

Step by Step Solution

1. Step 1: Write the proportion equation
   69,504 : 144,864 = 144,864 : x
2. Step 2: Convert to fraction form
   69,504/144,864 = 144,864/x
3. Step 3: Cross multiply
   69,504x = 144,864 × 144,864
4. Step 4: Simplify right side
   69,504x = 20,985,578,496
5. Step 5: Solve for x
   x = 20,985,578,496/69,504
6. Step 6: Final answer
   x = 301,933.39