Finding the Third Proportional to 78,272 and 173,824

Step by Step Solution

1. Step 1: Write the proportion equation
   78,272 : 173,824 = 173,824 : x
2. Step 2: Convert to fraction form
   78,272/173,824 = 173,824/x
3. Step 3: Cross multiply
   78,272x = 173,824 × 173,824
4. Step 4: Simplify right side
   78,272x = 30,214,782,976
5. Step 5: Solve for x
   x = 30,214,782,976/78,272
6. Step 6: Final answer
   x = 386,022.88