Finding the Third Proportional to 105,756 and 228,936

Step by Step Solution

1. Step 1: Write the proportion equation
   105,756 : 228,936 = 228,936 : x
2. Step 2: Convert to fraction form
   105,756/228,936 = 228,936/x
3. Step 3: Cross multiply
   105,756x = 228,936 × 228,936
4. Step 4: Simplify right side
   105,756x = 52,411,692,096
5. Step 5: Solve for x
   x = 52,411,692,096/105,756
6. Step 6: Final answer
   x = 495,590.72