Finding the Third Proportional to 103,832 and 231,028

Step by Step Solution

1. Step 1: Write the proportion equation
   103,832 : 231,028 = 231,028 : x
2. Step 2: Convert to fraction form
   103,832/231,028 = 231,028/x
3. Step 3: Cross multiply
   103,832x = 231,028 × 231,028
4. Step 4: Simplify right side
   103,832x = 53,373,936,784
5. Step 5: Solve for x
   x = 53,373,936,784/103,832
6. Step 6: Final answer
   x = 514,041.31