Finding the Third Proportional to 181,683 and 397,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,683 : 397,993.50 = 397,993.50 : x
2. Step 2: Convert to fraction form
   181,683/397,993.50 = 397,993.50/x
3. Step 3: Cross multiply
   181,683x = 397,993.50 × 397,993.50
4. Step 4: Simplify right side
   181,683x = 158,398,826,042.25
5. Step 5: Solve for x
   x = 158,398,826,042.25/181,683
6. Step 6: Final answer
   x = 871,841.76