Finding the Third Proportional to 105,380 and 228,256

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 228,256 = 228,256 : x
2. Step 2: Convert to fraction form
   105,380/228,256 = 228,256/x
3. Step 3: Cross multiply
   105,380x = 228,256 × 228,256
4. Step 4: Simplify right side
   105,380x = 52,100,801,536
5. Step 5: Solve for x
   x = 52,100,801,536/105,380
6. Step 6: Final answer
   x = 494,408.82