Finding the Third Proportional to 152,144 and 222,720

Step by Step Solution

1. Step 1: Write the proportion equation
   152,144 : 222,720 = 222,720 : x
2. Step 2: Convert to fraction form
   152,144/222,720 = 222,720/x
3. Step 3: Cross multiply
   152,144x = 222,720 × 222,720
4. Step 4: Simplify right side
   152,144x = 49,604,198,400
5. Step 5: Solve for x
   x = 49,604,198,400/152,144
6. Step 6: Final answer
   x = 326,034.54