Finding the Third Proportional to 139,200 and 221,824

Step by Step Solution

1. Step 1: Write the proportion equation
   139,200 : 221,824 = 221,824 : x
2. Step 2: Convert to fraction form
   139,200/221,824 = 221,824/x
3. Step 3: Cross multiply
   139,200x = 221,824 × 221,824
4. Step 4: Simplify right side
   139,200x = 49,205,886,976
5. Step 5: Solve for x
   x = 49,205,886,976/139,200
6. Step 6: Final answer
   x = 353,490.57