Finding the Third Proportional to 105,435.50 and 227,479.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,435.50 : 227,479.50 = 227,479.50 : x
2. Step 2: Convert to fraction form
   105,435.50/227,479.50 = 227,479.50/x
3. Step 3: Cross multiply
   105,435.50x = 227,479.50 × 227,479.50
4. Step 4: Simplify right side
   105,435.50x = 51,746,922,920.25
5. Step 5: Solve for x
   x = 51,746,922,920.25/105,435.50
6. Step 6: Final answer
   x = 490,792.22