Finding the Third Proportional to 152,144 and 222,582

Step by Step Solution

1. Step 1: Write the proportion equation
   152,144 : 222,582 = 222,582 : x
2. Step 2: Convert to fraction form
   152,144/222,582 = 222,582/x
3. Step 3: Cross multiply
   152,144x = 222,582 × 222,582
4. Step 4: Simplify right side
   152,144x = 49,542,746,724
5. Step 5: Solve for x
   x = 49,542,746,724/152,144
6. Step 6: Final answer
   x = 325,630.63