Finding the Third Proportional to 142,624 and 221,824

Step by Step Solution

1. Step 1: Write the proportion equation
   142,624 : 221,824 = 221,824 : x
2. Step 2: Convert to fraction form
   142,624/221,824 = 221,824/x
3. Step 3: Cross multiply
   142,624x = 221,824 × 221,824
4. Step 4: Simplify right side
   142,624x = 49,205,886,976
5. Step 5: Solve for x
   x = 49,205,886,976/142,624
6. Step 6: Final answer
   x = 345,004.26