Finding the Third Proportional to 142,456 and 221,460

Step by Step Solution

1. Step 1: Write the proportion equation
   142,456 : 221,460 = 221,460 : x
2. Step 2: Convert to fraction form
   142,456/221,460 = 221,460/x
3. Step 3: Cross multiply
   142,456x = 221,460 × 221,460
4. Step 4: Simplify right side
   142,456x = 49,044,531,600
5. Step 5: Solve for x
   x = 49,044,531,600/142,456
6. Step 6: Final answer
   x = 344,278.46