Finding the Third Proportional to 144,821 and 223,799

Step by Step Solution

1. Step 1: Write the proportion equation
   144,821 : 223,799 = 223,799 : x
2. Step 2: Convert to fraction form
   144,821/223,799 = 223,799/x
3. Step 3: Cross multiply
   144,821x = 223,799 × 223,799
4. Step 4: Simplify right side
   144,821x = 50,085,992,401
5. Step 5: Solve for x
   x = 50,085,992,401/144,821
6. Step 6: Final answer
   x = 345,847.58