Finding the Third Proportional to 106,743 and 231,019

Step by Step Solution

1. Step 1: Write the proportion equation
   106,743 : 231,019 = 231,019 : x
2. Step 2: Convert to fraction form
   106,743/231,019 = 231,019/x
3. Step 3: Cross multiply
   106,743x = 231,019 × 231,019
4. Step 4: Simplify right side
   106,743x = 53,369,778,361
5. Step 5: Solve for x
   x = 53,369,778,361/106,743
6. Step 6: Final answer
   x = 499,983.87