Finding the Third Proportional to 142,359 and 214,469

Step by Step Solution

1. Step 1: Write the proportion equation
   142,359 : 214,469 = 214,469 : x
2. Step 2: Convert to fraction form
   142,359/214,469 = 214,469/x
3. Step 3: Cross multiply
   142,359x = 214,469 × 214,469
4. Step 4: Simplify right side
   142,359x = 45,996,951,961
5. Step 5: Solve for x
   x = 45,996,951,961/142,359
6. Step 6: Final answer
   x = 323,105.33