Finding the Third Proportional to 105,746 and 228,916

Step by Step Solution

1. Step 1: Write the proportion equation
   105,746 : 228,916 = 228,916 : x
2. Step 2: Convert to fraction form
   105,746/228,916 = 228,916/x
3. Step 3: Cross multiply
   105,746x = 228,916 × 228,916
4. Step 4: Simplify right side
   105,746x = 52,402,535,056
5. Step 5: Solve for x
   x = 52,402,535,056/105,746
6. Step 6: Final answer
   x = 495,550.99