Finding the Third Proportional to 101,610 and 222,894

Step by Step Solution

1. Step 1: Write the proportion equation
   101,610 : 222,894 = 222,894 : x
2. Step 2: Convert to fraction form
   101,610/222,894 = 222,894/x
3. Step 3: Cross multiply
   101,610x = 222,894 × 222,894
4. Step 4: Simplify right side
   101,610x = 49,681,735,236
5. Step 5: Solve for x
   x = 49,681,735,236/101,610
6. Step 6: Final answer
   x = 488,945.33