Finding the Third Proportional to 111,006 and 231,228

Step by Step Solution

1. Step 1: Write the proportion equation
   111,006 : 231,228 = 231,228 : x
2. Step 2: Convert to fraction form
   111,006/231,228 = 231,228/x
3. Step 3: Cross multiply
   111,006x = 231,228 × 231,228
4. Step 4: Simplify right side
   111,006x = 53,466,387,984
5. Step 5: Solve for x
   x = 53,466,387,984/111,006
6. Step 6: Final answer
   x = 481,653.14