Finding the Third Proportional to 105,224 and 223,590

Step by Step Solution

1. Step 1: Write the proportion equation
   105,224 : 223,590 = 223,590 : x
2. Step 2: Convert to fraction form
   105,224/223,590 = 223,590/x
3. Step 3: Cross multiply
   105,224x = 223,590 × 223,590
4. Step 4: Simplify right side
   105,224x = 49,992,488,100
5. Step 5: Solve for x
   x = 49,992,488,100/105,224
6. Step 6: Final answer
   x = 475,105.38