Finding the Third Proportional to 413,967 and 854,384

Step by Step Solution

1. Step 1: Write the proportion equation
   413,967 : 854,384 = 854,384 : x
2. Step 2: Convert to fraction form
   413,967/854,384 = 854,384/x
3. Step 3: Cross multiply
   413,967x = 854,384 × 854,384
4. Step 4: Simplify right side
   413,967x = 729,972,019,456
5. Step 5: Solve for x
   x = 729,972,019,456/413,967
6. Step 6: Final answer
   x = 1,763,358.00