Finding the Third Proportional to 106,744 and 231,020

Step by Step Solution

1. Step 1: Write the proportion equation
   106,744 : 231,020 = 231,020 : x
2. Step 2: Convert to fraction form
   106,744/231,020 = 231,020/x
3. Step 3: Cross multiply
   106,744x = 231,020 × 231,020
4. Step 4: Simplify right side
   106,744x = 53,370,240,400
5. Step 5: Solve for x
   x = 53,370,240,400/106,744
6. Step 6: Final answer
   x = 499,983.52