Finding the Third Proportional to 105,008 and 228,448

Step by Step Solution

1. Step 1: Write the proportion equation
   105,008 : 228,448 = 228,448 : x
2. Step 2: Convert to fraction form
   105,008/228,448 = 228,448/x
3. Step 3: Cross multiply
   105,008x = 228,448 × 228,448
4. Step 4: Simplify right side
   105,008x = 52,188,488,704
5. Step 5: Solve for x
   x = 52,188,488,704/105,008
6. Step 6: Final answer
   x = 496,995.36