Finding the Third Proportional to 146,584 and 222,792

Step by Step Solution

1. Step 1: Write the proportion equation
   146,584 : 222,792 = 222,792 : x
2. Step 2: Convert to fraction form
   146,584/222,792 = 222,792/x
3. Step 3: Cross multiply
   146,584x = 222,792 × 222,792
4. Step 4: Simplify right side
   146,584x = 49,636,275,264
5. Step 5: Solve for x
   x = 49,636,275,264/146,584
6. Step 6: Final answer
   x = 338,620.01