Finding the Third Proportional to 164,496 and 222,902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164,496 : 222,902.25 = 222,902.25 : x
2. Step 2: Convert to fraction form
   164,496/222,902.25 = 222,902.25/x
3. Step 3: Cross multiply
   164,496x = 222,902.25 × 222,902.25
4. Step 4: Simplify right side
   164,496x = 49,685,413,055.06
5. Step 5: Solve for x
   x = 49,685,413,055.06/164,496
6. Step 6: Final answer
   x = 302,046.33