Finding the Third Proportional to 142,616 and 219,230

Step by Step Solution

1. Step 1: Write the proportion equation
   142,616 : 219,230 = 219,230 : x
2. Step 2: Convert to fraction form
   142,616/219,230 = 219,230/x
3. Step 3: Cross multiply
   142,616x = 219,230 × 219,230
4. Step 4: Simplify right side
   142,616x = 48,061,792,900
5. Step 5: Solve for x
   x = 48,061,792,900/142,616
6. Step 6: Final answer
   x = 337,001.41