Finding the Third Proportional to 142,824 and 333,792

Step by Step Solution

1. Step 1: Write the proportion equation
   142,824 : 333,792 = 333,792 : x
2. Step 2: Convert to fraction form
   142,824/333,792 = 333,792/x
3. Step 3: Cross multiply
   142,824x = 333,792 × 333,792
4. Step 4: Simplify right side
   142,824x = 111,417,099,264
5. Step 5: Solve for x
   x = 111,417,099,264/142,824
6. Step 6: Final answer
   x = 780,100.68