Finding the Third Proportional to 164,436 and 222,813

Step by Step Solution

1. Step 1: Write the proportion equation
   164,436 : 222,813 = 222,813 : x
2. Step 2: Convert to fraction form
   164,436/222,813 = 222,813/x
3. Step 3: Cross multiply
   164,436x = 222,813 × 222,813
4. Step 4: Simplify right side
   164,436x = 49,645,632,969
5. Step 5: Solve for x
   x = 49,645,632,969/164,436
6. Step 6: Final answer
   x = 301,914.62