Finding the Third Proportional to 409,624 and 635,996

Step by Step Solution

1. Step 1: Write the proportion equation
   409,624 : 635,996 = 635,996 : x
2. Step 2: Convert to fraction form
   409,624/635,996 = 635,996/x
3. Step 3: Cross multiply
   409,624x = 635,996 × 635,996
4. Step 4: Simplify right side
   409,624x = 404,490,912,016
5. Step 5: Solve for x
   x = 404,490,912,016/409,624
6. Step 6: Final answer
   x = 987,468.78