Finding the Third Proportional to 105,676 and 230,952

Step by Step Solution

1. Step 1: Write the proportion equation
   105,676 : 230,952 = 230,952 : x
2. Step 2: Convert to fraction form
   105,676/230,952 = 230,952/x
3. Step 3: Cross multiply
   105,676x = 230,952 × 230,952
4. Step 4: Simplify right side
   105,676x = 53,338,826,304
5. Step 5: Solve for x
   x = 53,338,826,304/105,676
6. Step 6: Final answer
   x = 504,739.26