Finding the Third Proportional to 144,372 and 222,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,372 : 222,193.50 = 222,193.50 : x
2. Step 2: Convert to fraction form
   144,372/222,193.50 = 222,193.50/x
3. Step 3: Cross multiply
   144,372x = 222,193.50 × 222,193.50
4. Step 4: Simplify right side
   144,372x = 49,369,951,442.25
5. Step 5: Solve for x
   x = 49,369,951,442.25/144,372
6. Step 6: Final answer
   x = 341,963.48