Finding the Third Proportional to 101,586 and 222,858

Step by Step Solution

1. Step 1: Write the proportion equation
   101,586 : 222,858 = 222,858 : x
2. Step 2: Convert to fraction form
   101,586/222,858 = 222,858/x
3. Step 3: Cross multiply
   101,586x = 222,858 × 222,858
4. Step 4: Simplify right side
   101,586x = 49,665,688,164
5. Step 5: Solve for x
   x = 49,665,688,164/101,586
6. Step 6: Final answer
   x = 488,902.88