Finding the Third Proportional to 144,864 and 223,857

Step by Step Solution

1. Step 1: Write the proportion equation
   144,864 : 223,857 = 223,857 : x
2. Step 2: Convert to fraction form
   144,864/223,857 = 223,857/x
3. Step 3: Cross multiply
   144,864x = 223,857 × 223,857
4. Step 4: Simplify right side
   144,864x = 50,111,956,449
5. Step 5: Solve for x
   x = 50,111,956,449/144,864
6. Step 6: Final answer
   x = 345,924.15