Finding the Third Proportional to 142,628 and 221,830

Step by Step Solution

1. Step 1: Write the proportion equation
   142,628 : 221,830 = 221,830 : x
2. Step 2: Convert to fraction form
   142,628/221,830 = 221,830/x
3. Step 3: Cross multiply
   142,628x = 221,830 × 221,830
4. Step 4: Simplify right side
   142,628x = 49,208,548,900
5. Step 5: Solve for x
   x = 49,208,548,900/142,628
6. Step 6: Final answer
   x = 345,013.24