Finding the Third Proportional to 106,329 and 144,468

Step by Step Solution

1. Step 1: Write the proportion equation
   106,329 : 144,468 = 144,468 : x
2. Step 2: Convert to fraction form
   106,329/144,468 = 144,468/x
3. Step 3: Cross multiply
   106,329x = 144,468 × 144,468
4. Step 4: Simplify right side
   106,329x = 20,871,003,024
5. Step 5: Solve for x
   x = 20,871,003,024/106,329
6. Step 6: Final answer
   x = 196,287.02