Finding the Third Proportional to 102,023 and 222,116

Step by Step Solution

1. Step 1: Write the proportion equation
   102,023 : 222,116 = 222,116 : x
2. Step 2: Convert to fraction form
   102,023/222,116 = 222,116/x
3. Step 3: Cross multiply
   102,023x = 222,116 × 222,116
4. Step 4: Simplify right side
   102,023x = 49,335,517,456
5. Step 5: Solve for x
   x = 49,335,517,456/102,023
6. Step 6: Final answer
   x = 483,572.50