Finding the Third Proportional to 105,734 and 228,892

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734 : 228,892 = 228,892 : x
2. Step 2: Convert to fraction form
   105,734/228,892 = 228,892/x
3. Step 3: Cross multiply
   105,734x = 228,892 × 228,892
4. Step 4: Simplify right side
   105,734x = 52,391,547,664
5. Step 5: Solve for x
   x = 52,391,547,664/105,734
6. Step 6: Final answer
   x = 495,503.32