Finding the Third Proportional to 412,857 and 854,031.38

Step by Step Solution

1. Step 1: Write the proportion equation
   412,857 : 854,031.38 = 854,031.38 : x
2. Step 2: Convert to fraction form
   412,857/854,031.38 = 854,031.38/x
3. Step 3: Cross multiply
   412,857x = 854,031.38 × 854,031.38
4. Step 4: Simplify right side
   412,857x = 729,369,589,484.39
5. Step 5: Solve for x
   x = 729,369,589,484.39/412,857
6. Step 6: Final answer
   x = 1,766,639.76