Finding the Third Proportional to 105,219 and 223,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,219 : 223,579.50 = 223,579.50 : x
2. Step 2: Convert to fraction form
   105,219/223,579.50 = 223,579.50/x
3. Step 3: Cross multiply
   105,219x = 223,579.50 × 223,579.50
4. Step 4: Simplify right side
   105,219x = 49,987,792,820.25
5. Step 5: Solve for x
   x = 49,987,792,820.25/105,219
6. Step 6: Final answer
   x = 475,083.33