Finding the Third Proportional to 382,920 and 635,980

Step by Step Solution

1. Step 1: Write the proportion equation
   382,920 : 635,980 = 635,980 : x
2. Step 2: Convert to fraction form
   382,920/635,980 = 635,980/x
3. Step 3: Cross multiply
   382,920x = 635,980 × 635,980
4. Step 4: Simplify right side
   382,920x = 404,470,560,400
5. Step 5: Solve for x
   x = 404,470,560,400/382,920
6. Step 6: Final answer
   x = 1,056,279.54