Finding the Third Proportional to 101,641 and 222,974

Step by Step Solution

1. Step 1: Write the proportion equation
   101,641 : 222,974 = 222,974 : x
2. Step 2: Convert to fraction form
   101,641/222,974 = 222,974/x
3. Step 3: Cross multiply
   101,641x = 222,974 × 222,974
4. Step 4: Simplify right side
   101,641x = 49,717,404,676
5. Step 5: Solve for x
   x = 49,717,404,676/101,641
6. Step 6: Final answer
   x = 489,147.14