Finding the Third Proportional to 105,262.50 and 225,537

Step by Step Solution

1. Step 1: Write the proportion equation
   105,262.50 : 225,537 = 225,537 : x
2. Step 2: Convert to fraction form
   105,262.50/225,537 = 225,537/x
3. Step 3: Cross multiply
   105,262.50x = 225,537 × 225,537
4. Step 4: Simplify right side
   105,262.50x = 50,866,938,369
5. Step 5: Solve for x
   x = 50,866,938,369/105,262.50
6. Step 6: Final answer
   x = 483,238.93