Finding the Third Proportional to 103,696 and 223,932

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 223,932 = 223,932 : x
2. Step 2: Convert to fraction form
   103,696/223,932 = 223,932/x
3. Step 3: Cross multiply
   103,696x = 223,932 × 223,932
4. Step 4: Simplify right side
   103,696x = 50,145,540,624
5. Step 5: Solve for x
   x = 50,145,540,624/103,696
6. Step 6: Final answer
   x = 483,582.21