Finding the Third Proportional to 105,367 and 228,230

Step by Step Solution

1. Step 1: Write the proportion equation
   105,367 : 228,230 = 228,230 : x
2. Step 2: Convert to fraction form
   105,367/228,230 = 228,230/x
3. Step 3: Cross multiply
   105,367x = 228,230 × 228,230
4. Step 4: Simplify right side
   105,367x = 52,088,932,900
5. Step 5: Solve for x
   x = 52,088,932,900/105,367
6. Step 6: Final answer
   x = 494,357.18