Finding the Third Proportional to 77,824 and 173,792

Step by Step Solution

1. Step 1: Write the proportion equation
   77,824 : 173,792 = 173,792 : x
2. Step 2: Convert to fraction form
   77,824/173,792 = 173,792/x
3. Step 3: Cross multiply
   77,824x = 173,792 × 173,792
4. Step 4: Simplify right side
   77,824x = 30,203,659,264
5. Step 5: Solve for x
   x = 30,203,659,264/77,824
6. Step 6: Final answer
   x = 388,102.12