Finding the Third Proportional to 144,665 and 221,166

Step by Step Solution

1. Step 1: Write the proportion equation
   144,665 : 221,166 = 221,166 : x
2. Step 2: Convert to fraction form
   144,665/221,166 = 221,166/x
3. Step 3: Cross multiply
   144,665x = 221,166 × 221,166
4. Step 4: Simplify right side
   144,665x = 48,914,399,556
5. Step 5: Solve for x
   x = 48,914,399,556/144,665
6. Step 6: Final answer
   x = 338,121.86