Finding the Third Proportional to 105,843 and 228,938

Step by Step Solution

1. Step 1: Write the proportion equation
   105,843 : 228,938 = 228,938 : x
2. Step 2: Convert to fraction form
   105,843/228,938 = 228,938/x
3. Step 3: Cross multiply
   105,843x = 228,938 × 228,938
4. Step 4: Simplify right side
   105,843x = 52,412,607,844
5. Step 5: Solve for x
   x = 52,412,607,844/105,843
6. Step 6: Final answer
   x = 495,192.01