Finding the Third Proportional to 308,662 and 409,662

Step by Step Solution

1. Step 1: Write the proportion equation
   308,662 : 409,662 = 409,662 : x
2. Step 2: Convert to fraction form
   308,662/409,662 = 409,662/x
3. Step 3: Cross multiply
   308,662x = 409,662 × 409,662
4. Step 4: Simplify right side
   308,662x = 167,822,954,244
5. Step 5: Solve for x
   x = 167,822,954,244/308,662
6. Step 6: Final answer
   x = 543,711.10