Finding the Third Proportional to 388,213.50 and 823,083

Step by Step Solution

1. Step 1: Write the proportion equation
   388,213.50 : 823,083 = 823,083 : x
2. Step 2: Convert to fraction form
   388,213.50/823,083 = 823,083/x
3. Step 3: Cross multiply
   388,213.50x = 823,083 × 823,083
4. Step 4: Simplify right side
   388,213.50x = 677,465,624,889
5. Step 5: Solve for x
   x = 677,465,624,889/388,213.50
6. Step 6: Final answer
   x = 1,745,085.18