Finding the Third Proportional to 164,538 and 222,963

Step by Step Solution

1. Step 1: Write the proportion equation
   164,538 : 222,963 = 222,963 : x
2. Step 2: Convert to fraction form
   164,538/222,963 = 222,963/x
3. Step 3: Cross multiply
   164,538x = 222,963 × 222,963
4. Step 4: Simplify right side
   164,538x = 49,712,499,369
5. Step 5: Solve for x
   x = 49,712,499,369/164,538
6. Step 6: Final answer
   x = 302,133.85