Finding the Third Proportional to 144,801 and 221,509.69

Step by Step Solution

1. Step 1: Write the proportion equation
   144,801 : 221,509.69 = 221,509.69 : x
2. Step 2: Convert to fraction form
   144,801/221,509.69 = 221,509.69/x
3. Step 3: Cross multiply
   144,801x = 221,509.69 × 221,509.69
4. Step 4: Simplify right side
   144,801x = 49,066,541,656.35
5. Step 5: Solve for x
   x = 49,066,541,656.35/144,801
6. Step 6: Final answer
   x = 338,854.99