Finding the Third Proportional to 144,672 and 222,624

Step by Step Solution

1. Step 1: Write the proportion equation
   144,672 : 222,624 = 222,624 : x
2. Step 2: Convert to fraction form
   144,672/222,624 = 222,624/x
3. Step 3: Cross multiply
   144,672x = 222,624 × 222,624
4. Step 4: Simplify right side
   144,672x = 49,561,445,376
5. Step 5: Solve for x
   x = 49,561,445,376/144,672
6. Step 6: Final answer
   x = 342,578.01