Finding the Third Proportional to 105,354 and 223,098

Step by Step Solution

1. Step 1: Write the proportion equation
   105,354 : 223,098 = 223,098 : x
2. Step 2: Convert to fraction form
   105,354/223,098 = 223,098/x
3. Step 3: Cross multiply
   105,354x = 223,098 × 223,098
4. Step 4: Simplify right side
   105,354x = 49,772,717,604
5. Step 5: Solve for x
   x = 49,772,717,604/105,354
6. Step 6: Final answer
   x = 472,433.11