Finding the Third Proportional to 105,354 and 225,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,354 : 225,517.50 = 225,517.50 : x
2. Step 2: Convert to fraction form
   105,354/225,517.50 = 225,517.50/x
3. Step 3: Cross multiply
   105,354x = 225,517.50 × 225,517.50
4. Step 4: Simplify right side
   105,354x = 50,858,142,806.25
5. Step 5: Solve for x
   x = 50,858,142,806.25/105,354
6. Step 6: Final answer
   x = 482,735.76