Finding the Third Proportional to 105,627 and 218,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,627 : 218,636 = 218,636 : x
2. Step 2: Convert to fraction form
   105,627/218,636 = 218,636/x
3. Step 3: Cross multiply
   105,627x = 218,636 × 218,636
4. Step 4: Simplify right side
   105,627x = 47,801,700,496
5. Step 5: Solve for x
   x = 47,801,700,496/105,627
6. Step 6: Final answer
   x = 452,551.91