Finding the Third Proportional to 103,878 and 227,196

Step by Step Solution

1. Step 1: Write the proportion equation
   103,878 : 227,196 = 227,196 : x
2. Step 2: Convert to fraction form
   103,878/227,196 = 227,196/x
3. Step 3: Cross multiply
   103,878x = 227,196 × 227,196
4. Step 4: Simplify right side
   103,878x = 51,618,022,416
5. Step 5: Solve for x
   x = 51,618,022,416/103,878
6. Step 6: Final answer
   x = 496,910.05