Finding the Third Proportional to 142,250 and 213,753

Step by Step Solution

1. Step 1: Write the proportion equation
   142,250 : 213,753 = 213,753 : x
2. Step 2: Convert to fraction form
   142,250/213,753 = 213,753/x
3. Step 3: Cross multiply
   142,250x = 213,753 × 213,753
4. Step 4: Simplify right side
   142,250x = 45,690,345,009
5. Step 5: Solve for x
   x = 45,690,345,009/142,250
6. Step 6: Final answer
   x = 321,197.50