Finding the Third Proportional to 144,916 and 222,774

Step by Step Solution

1. Step 1: Write the proportion equation
   144,916 : 222,774 = 222,774 : x
2. Step 2: Convert to fraction form
   144,916/222,774 = 222,774/x
3. Step 3: Cross multiply
   144,916x = 222,774 × 222,774
4. Step 4: Simplify right side
   144,916x = 49,628,255,076
5. Step 5: Solve for x
   x = 49,628,255,076/144,916
6. Step 6: Final answer
   x = 342,462.22