Finding the Third Proportional to 105,205.50 and 227,907

Step by Step Solution

1. Step 1: Write the proportion equation
   105,205.50 : 227,907 = 227,907 : x
2. Step 2: Convert to fraction form
   105,205.50/227,907 = 227,907/x
3. Step 3: Cross multiply
   105,205.50x = 227,907 × 227,907
4. Step 4: Simplify right side
   105,205.50x = 51,941,600,649
5. Step 5: Solve for x
   x = 51,941,600,649/105,205.50
6. Step 6: Final answer
   x = 493,715.64