Finding the Third Proportional to 142,288 and 213,824

Step by Step Solution

1. Step 1: Write the proportion equation
   142,288 : 213,824 = 213,824 : x
2. Step 2: Convert to fraction form
   142,288/213,824 = 213,824/x
3. Step 3: Cross multiply
   142,288x = 213,824 × 213,824
4. Step 4: Simplify right side
   142,288x = 45,720,702,976
5. Step 5: Solve for x
   x = 45,720,702,976/142,288
6. Step 6: Final answer
   x = 321,325.08