Finding the Third Proportional to 388,188 and 823,032

Step by Step Solution

1. Step 1: Write the proportion equation
   388,188 : 823,032 = 823,032 : x
2. Step 2: Convert to fraction form
   388,188/823,032 = 823,032/x
3. Step 3: Cross multiply
   388,188x = 823,032 × 823,032
4. Step 4: Simplify right side
   388,188x = 677,381,673,024
5. Step 5: Solve for x
   x = 677,381,673,024/388,188
6. Step 6: Final answer
   x = 1,744,983.55