Finding the Third Proportional to 105,349.50 and 225,462

Step by Step Solution

1. Step 1: Write the proportion equation
   105,349.50 : 225,462 = 225,462 : x
2. Step 2: Convert to fraction form
   105,349.50/225,462 = 225,462/x
3. Step 3: Cross multiply
   105,349.50x = 225,462 × 225,462
4. Step 4: Simplify right side
   105,349.50x = 50,833,113,444
5. Step 5: Solve for x
   x = 50,833,113,444/105,349.50
6. Step 6: Final answer
   x = 482,518.79