Finding the Third Proportional to 106,785 and 144,801

Step by Step Solution

1. Step 1: Write the proportion equation
   106,785 : 144,801 = 144,801 : x
2. Step 2: Convert to fraction form
   106,785/144,801 = 144,801/x
3. Step 3: Cross multiply
   106,785x = 144,801 × 144,801
4. Step 4: Simplify right side
   106,785x = 20,967,329,601
5. Step 5: Solve for x
   x = 20,967,329,601/106,785
6. Step 6: Final answer
   x = 196,350.89