Finding the Third Proportional to 164,434 and 222,810

Step by Step Solution

1. Step 1: Write the proportion equation
   164,434 : 222,810 = 222,810 : x
2. Step 2: Convert to fraction form
   164,434/222,810 = 222,810/x
3. Step 3: Cross multiply
   164,434x = 222,810 × 222,810
4. Step 4: Simplify right side
   164,434x = 49,644,296,100
5. Step 5: Solve for x
   x = 49,644,296,100/164,434
6. Step 6: Final answer
   x = 301,910.17