Finding the Third Proportional to 150,109 and 228,256

Step by Step Solution

1. Step 1: Write the proportion equation
   150,109 : 228,256 = 228,256 : x
2. Step 2: Convert to fraction form
   150,109/228,256 = 228,256/x
3. Step 3: Cross multiply
   150,109x = 228,256 × 228,256
4. Step 4: Simplify right side
   150,109x = 52,100,801,536
5. Step 5: Solve for x
   x = 52,100,801,536/150,109
6. Step 6: Final answer
   x = 347,086.46