Finding the Third Proportional to 106,758 and 231,048

Step by Step Solution

1. Step 1: Write the proportion equation
   106,758 : 231,048 = 231,048 : x
2. Step 2: Convert to fraction form
   106,758/231,048 = 231,048/x
3. Step 3: Cross multiply
   106,758x = 231,048 × 231,048
4. Step 4: Simplify right side
   106,758x = 53,383,178,304
5. Step 5: Solve for x
   x = 53,383,178,304/106,758
6. Step 6: Final answer
   x = 500,039.14