Finding the Third Proportional to 164,536 and 222,960

Step by Step Solution

1. Step 1: Write the proportion equation
   164,536 : 222,960 = 222,960 : x
2. Step 2: Convert to fraction form
   164,536/222,960 = 222,960/x
3. Step 3: Cross multiply
   164,536x = 222,960 × 222,960
4. Step 4: Simplify right side
   164,536x = 49,711,161,600
5. Step 5: Solve for x
   x = 49,711,161,600/164,536
6. Step 6: Final answer
   x = 302,129.39