Finding the Third Proportional to 103,876 and 223,642

Step by Step Solution

1. Step 1: Write the proportion equation
   103,876 : 223,642 = 223,642 : x
2. Step 2: Convert to fraction form
   103,876/223,642 = 223,642/x
3. Step 3: Cross multiply
   103,876x = 223,642 × 223,642
4. Step 4: Simplify right side
   103,876x = 50,015,744,164
5. Step 5: Solve for x
   x = 50,015,744,164/103,876
6. Step 6: Final answer
   x = 481,494.71