Finding the Third Proportional to 388,214.50 and 823,085

Step by Step Solution

1. Step 1: Write the proportion equation
   388,214.50 : 823,085 = 823,085 : x
2. Step 2: Convert to fraction form
   388,214.50/823,085 = 823,085/x
3. Step 3: Cross multiply
   388,214.50x = 823,085 × 823,085
4. Step 4: Simplify right side
   388,214.50x = 677,468,917,225
5. Step 5: Solve for x
   x = 677,468,917,225/388,214.50
6. Step 6: Final answer
   x = 1,745,089.16