Finding the Third Proportional to 105,363 and 223,116

Step by Step Solution

1. Step 1: Write the proportion equation
   105,363 : 223,116 = 223,116 : x
2. Step 2: Convert to fraction form
   105,363/223,116 = 223,116/x
3. Step 3: Cross multiply
   105,363x = 223,116 × 223,116
4. Step 4: Simplify right side
   105,363x = 49,780,749,456
5. Step 5: Solve for x
   x = 49,780,749,456/105,363
6. Step 6: Final answer
   x = 472,468.98