Finding the Third Proportional to 105,165 and 228,008

Step by Step Solution

1. Step 1: Write the proportion equation
   105,165 : 228,008 = 228,008 : x
2. Step 2: Convert to fraction form
   105,165/228,008 = 228,008/x
3. Step 3: Cross multiply
   105,165x = 228,008 × 228,008
4. Step 4: Simplify right side
   105,165x = 51,987,648,064
5. Step 5: Solve for x
   x = 51,987,648,064/105,165
6. Step 6: Final answer
   x = 494,343.63