Finding the Third Proportional to 105,226 and 228,884

Step by Step Solution

1. Step 1: Write the proportion equation
   105,226 : 228,884 = 228,884 : x
2. Step 2: Convert to fraction form
   105,226/228,884 = 228,884/x
3. Step 3: Cross multiply
   105,226x = 228,884 × 228,884
4. Step 4: Simplify right side
   105,226x = 52,387,885,456
5. Step 5: Solve for x
   x = 52,387,885,456/105,226
6. Step 6: Final answer
   x = 497,860.66