Finding the Third Proportional to 105,744 and 231,792

Step by Step Solution

1. Step 1: Write the proportion equation
   105,744 : 231,792 = 231,792 : x
2. Step 2: Convert to fraction form
   105,744/231,792 = 231,792/x
3. Step 3: Cross multiply
   105,744x = 231,792 × 231,792
4. Step 4: Simplify right side
   105,744x = 53,727,531,264
5. Step 5: Solve for x
   x = 53,727,531,264/105,744
6. Step 6: Final answer
   x = 508,090.59