Finding the Third Proportional to 103,662 and 222,065

Step by Step Solution

1. Step 1: Write the proportion equation
   103,662 : 222,065 = 222,065 : x
2. Step 2: Convert to fraction form
   103,662/222,065 = 222,065/x
3. Step 3: Cross multiply
   103,662x = 222,065 × 222,065
4. Step 4: Simplify right side
   103,662x = 49,312,864,225
5. Step 5: Solve for x
   x = 49,312,864,225/103,662
6. Step 6: Final answer
   x = 475,708.21