Finding the Third Proportional to 105,537 and 231,087

Step by Step Solution

1. Step 1: Write the proportion equation
   105,537 : 231,087 = 231,087 : x
2. Step 2: Convert to fraction form
   105,537/231,087 = 231,087/x
3. Step 3: Cross multiply
   105,537x = 231,087 × 231,087
4. Step 4: Simplify right side
   105,537x = 53,401,201,569
5. Step 5: Solve for x
   x = 53,401,201,569/105,537
6. Step 6: Final answer
   x = 505,995.07