Finding the Third Proportional to 105,192 and 228,218

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 228,218 = 228,218 : x
2. Step 2: Convert to fraction form
   105,192/228,218 = 228,218/x
3. Step 3: Cross multiply
   105,192x = 228,218 × 228,218
4. Step 4: Simplify right side
   105,192x = 52,083,455,524
5. Step 5: Solve for x
   x = 52,083,455,524/105,192
6. Step 6: Final answer
   x = 495,127.53