Finding the Third Proportional to 105,651 and 228,852

Step by Step Solution

1. Step 1: Write the proportion equation
   105,651 : 228,852 = 228,852 : x
2. Step 2: Convert to fraction form
   105,651/228,852 = 228,852/x
3. Step 3: Cross multiply
   105,651x = 228,852 × 228,852
4. Step 4: Simplify right side
   105,651x = 52,373,237,904
5. Step 5: Solve for x
   x = 52,373,237,904/105,651
6. Step 6: Final answer
   x = 495,719.28