Finding the Third Proportional to 144,384 and 222,214

Step by Step Solution

1. Step 1: Write the proportion equation
   144,384 : 222,214 = 222,214 : x
2. Step 2: Convert to fraction form
   144,384/222,214 = 222,214/x
3. Step 3: Cross multiply
   144,384x = 222,214 × 222,214
4. Step 4: Simplify right side
   144,384x = 49,379,061,796
5. Step 5: Solve for x
   x = 49,379,061,796/144,384
6. Step 6: Final answer
   x = 341,998.16