Finding the Third Proportional to 164,401 and 222,784

Step by Step Solution

1. Step 1: Write the proportion equation
   164,401 : 222,784 = 222,784 : x
2. Step 2: Convert to fraction form
   164,401/222,784 = 222,784/x
3. Step 3: Cross multiply
   164,401x = 222,784 × 222,784
4. Step 4: Simplify right side
   164,401x = 49,632,710,656
5. Step 5: Solve for x
   x = 49,632,710,656/164,401
6. Step 6: Final answer
   x = 301,900.30