Finding the Third Proportional to 204,640 and 419,118

Step by Step Solution

1. Step 1: Write the proportion equation
   204,640 : 419,118 = 419,118 : x
2. Step 2: Convert to fraction form
   204,640/419,118 = 419,118/x
3. Step 3: Cross multiply
   204,640x = 419,118 × 419,118
4. Step 4: Simplify right side
   204,640x = 175,659,897,924
5. Step 5: Solve for x
   x = 175,659,897,924/204,640
6. Step 6: Final answer
   x = 858,384.96