Finding the Third Proportional to 105,497 and 231,004

Step by Step Solution

1. Step 1: Write the proportion equation
   105,497 : 231,004 = 231,004 : x
2. Step 2: Convert to fraction form
   105,497/231,004 = 231,004/x
3. Step 3: Cross multiply
   105,497x = 231,004 × 231,004
4. Step 4: Simplify right side
   105,497x = 53,362,848,016
5. Step 5: Solve for x
   x = 53,362,848,016/105,497
6. Step 6: Final answer
   x = 505,823.37