Finding the Third Proportional to 102,040 and 222,152

Step by Step Solution

1. Step 1: Write the proportion equation
   102,040 : 222,152 = 222,152 : x
2. Step 2: Convert to fraction form
   102,040/222,152 = 222,152/x
3. Step 3: Cross multiply
   102,040x = 222,152 × 222,152
4. Step 4: Simplify right side
   102,040x = 49,351,511,104
5. Step 5: Solve for x
   x = 49,351,511,104/102,040
6. Step 6: Final answer
   x = 483,648.68