Finding the Third Proportional to 108,155 and 231,256

Step by Step Solution

1. Step 1: Write the proportion equation
   108,155 : 231,256 = 231,256 : x
2. Step 2: Convert to fraction form
   108,155/231,256 = 231,256/x
3. Step 3: Cross multiply
   108,155x = 231,256 × 231,256
4. Step 4: Simplify right side
   108,155x = 53,479,337,536
5. Step 5: Solve for x
   x = 53,479,337,536/108,155
6. Step 6: Final answer
   x = 494,469.40