Finding the Third Proportional to 107,730 and 144,018

Step by Step Solution

1. Step 1: Write the proportion equation
   107,730 : 144,018 = 144,018 : x
2. Step 2: Convert to fraction form
   107,730/144,018 = 144,018/x
3. Step 3: Cross multiply
   107,730x = 144,018 × 144,018
4. Step 4: Simplify right side
   107,730x = 20,741,184,324
5. Step 5: Solve for x
   x = 20,741,184,324/107,730
6. Step 6: Final answer
   x = 192,529.33