Finding the Third Proportional to 103,636 and 223,814

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 223,814 = 223,814 : x
2. Step 2: Convert to fraction form
   103,636/223,814 = 223,814/x
3. Step 3: Cross multiply
   103,636x = 223,814 × 223,814
4. Step 4: Simplify right side
   103,636x = 50,092,706,596
5. Step 5: Solve for x
   x = 50,092,706,596/103,636
6. Step 6: Final answer
   x = 483,352.37