Finding the Third Proportional to 105,205.50 and 227,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,205.50 : 227,245.50 = 227,245.50 : x
2. Step 2: Convert to fraction form
   105,205.50/227,245.50 = 227,245.50/x
3. Step 3: Cross multiply
   105,205.50x = 227,245.50 × 227,245.50
4. Step 4: Simplify right side
   105,205.50x = 51,640,517,270.25
5. Step 5: Solve for x
   x = 51,640,517,270.25/105,205.50
6. Step 6: Final answer
   x = 490,853.78