Finding the Third Proportional to 142,618 and 219,233

Step by Step Solution

1. Step 1: Write the proportion equation
   142,618 : 219,233 = 219,233 : x
2. Step 2: Convert to fraction form
   142,618/219,233 = 219,233/x
3. Step 3: Cross multiply
   142,618x = 219,233 × 219,233
4. Step 4: Simplify right side
   142,618x = 48,063,108,289
5. Step 5: Solve for x
   x = 48,063,108,289/142,618
6. Step 6: Final answer
   x = 337,005.91