Finding the Third Proportional to 145,584 and 222,264

Step by Step Solution

1. Step 1: Write the proportion equation
   145,584 : 222,264 = 222,264 : x
2. Step 2: Convert to fraction form
   145,584/222,264 = 222,264/x
3. Step 3: Cross multiply
   145,584x = 222,264 × 222,264
4. Step 4: Simplify right side
   145,584x = 49,401,285,696
5. Step 5: Solve for x
   x = 49,401,285,696/145,584
6. Step 6: Final answer
   x = 339,331.83