Finding the Third Proportional to 106,328 and 144,469

Step by Step Solution

1. Step 1: Write the proportion equation
   106,328 : 144,469 = 144,469 : x
2. Step 2: Convert to fraction form
   106,328/144,469 = 144,469/x
3. Step 3: Cross multiply
   106,328x = 144,469 × 144,469
4. Step 4: Simplify right side
   106,328x = 20,871,291,961
5. Step 5: Solve for x
   x = 20,871,291,961/106,328
6. Step 6: Final answer
   x = 196,291.59