Finding the Third Proportional to 137,828 and 222,042

Step by Step Solution

1. Step 1: Write the proportion equation
   137,828 : 222,042 = 222,042 : x
2. Step 2: Convert to fraction form
   137,828/222,042 = 222,042/x
3. Step 3: Cross multiply
   137,828x = 222,042 × 222,042
4. Step 4: Simplify right side
   137,828x = 49,302,649,764
5. Step 5: Solve for x
   x = 49,302,649,764/137,828
6. Step 6: Final answer
   x = 357,711.42