Finding the Third Proportional to 105,175 and 228,096

Step by Step Solution

1. Step 1: Write the proportion equation
   105,175 : 228,096 = 228,096 : x
2. Step 2: Convert to fraction form
   105,175/228,096 = 228,096/x
3. Step 3: Cross multiply
   105,175x = 228,096 × 228,096
4. Step 4: Simplify right side
   105,175x = 52,027,785,216
5. Step 5: Solve for x
   x = 52,027,785,216/105,175
6. Step 6: Final answer
   x = 494,678.25