Finding the Third Proportional to 105,067.50 and 232,215.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105,067.50 : 232,215.38 = 232,215.38 : x
2. Step 2: Convert to fraction form
   105,067.50/232,215.38 = 232,215.38/x
3. Step 3: Cross multiply
   105,067.50x = 232,215.38 × 232,215.38
4. Step 4: Simplify right side
   105,067.50x = 53,923,980,386.39
5. Step 5: Solve for x
   x = 53,923,980,386.39/105,067.50
6. Step 6: Final answer
   x = 513,231.78