Finding the Third Proportional to 164,499 and 222,906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   164,499 : 222,906.75 = 222,906.75 : x
2. Step 2: Convert to fraction form
   164,499/222,906.75 = 222,906.75/x
3. Step 3: Cross multiply
   164,499x = 222,906.75 × 222,906.75
4. Step 4: Simplify right side
   164,499x = 49,687,419,195.56
5. Step 5: Solve for x
   x = 49,687,419,195.56/164,499
6. Step 6: Final answer
   x = 302,053.02