Finding the Third Proportional to 103,656 and 223,872

Step by Step Solution

1. Step 1: Write the proportion equation
   103,656 : 223,872 = 223,872 : x
2. Step 2: Convert to fraction form
   103,656/223,872 = 223,872/x
3. Step 3: Cross multiply
   103,656x = 223,872 × 223,872
4. Step 4: Simplify right side
   103,656x = 50,118,672,384
5. Step 5: Solve for x
   x = 50,118,672,384/103,656
6. Step 6: Final answer
   x = 483,509.61