Finding the Third Proportional to 164,371 and 222,738

Step by Step Solution

1. Step 1: Write the proportion equation
   164,371 : 222,738 = 222,738 : x
2. Step 2: Convert to fraction form
   164,371/222,738 = 222,738/x
3. Step 3: Cross multiply
   164,371x = 222,738 × 222,738
4. Step 4: Simplify right side
   164,371x = 49,612,216,644
5. Step 5: Solve for x
   x = 49,612,216,644/164,371
6. Step 6: Final answer
   x = 301,830.72