Finding the Third Proportional to 144,536 and 222,436

Step by Step Solution

1. Step 1: Write the proportion equation
   144,536 : 222,436 = 222,436 : x
2. Step 2: Convert to fraction form
   144,536/222,436 = 222,436/x
3. Step 3: Cross multiply
   144,536x = 222,436 × 222,436
4. Step 4: Simplify right side
   144,536x = 49,477,774,096
5. Step 5: Solve for x
   x = 49,477,774,096/144,536
6. Step 6: Final answer
   x = 342,321.46