Finding the Third Proportional to 388,191.75 and 823,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   388,191.75 : 823,039.50 = 823,039.50 : x
2. Step 2: Convert to fraction form
   388,191.75/823,039.50 = 823,039.50/x
3. Step 3: Cross multiply
   388,191.75x = 823,039.50 × 823,039.50
4. Step 4: Simplify right side
   388,191.75x = 677,394,018,560.25
5. Step 5: Solve for x
   x = 677,394,018,560.25/388,191.75
6. Step 6: Final answer
   x = 1,744,998.49