Finding the Third Proportional to 384,381 and 816,063

Step by Step Solution

1. Step 1: Write the proportion equation
   384,381 : 816,063 = 816,063 : x
2. Step 2: Convert to fraction form
   384,381/816,063 = 816,063/x
3. Step 3: Cross multiply
   384,381x = 816,063 × 816,063
4. Step 4: Simplify right side
   384,381x = 665,958,819,969
5. Step 5: Solve for x
   x = 665,958,819,969/384,381
6. Step 6: Final answer
   x = 1,732,548.75