Finding the Third Proportional to 68,105 and 144,401

Step by Step Solution

1. Step 1: Write the proportion equation
   68,105 : 144,401 = 144,401 : x
2. Step 2: Convert to fraction form
   68,105/144,401 = 144,401/x
3. Step 3: Cross multiply
   68,105x = 144,401 × 144,401
4. Step 4: Simplify right side
   68,105x = 20,851,648,801
5. Step 5: Solve for x
   x = 20,851,648,801/68,105
6. Step 6: Final answer
   x = 306,169.13