Finding the Third Proportional to 380,509.50 and 819,885

Step by Step Solution

1. Step 1: Write the proportion equation
   380,509.50 : 819,885 = 819,885 : x
2. Step 2: Convert to fraction form
   380,509.50/819,885 = 819,885/x
3. Step 3: Cross multiply
   380,509.50x = 819,885 × 819,885
4. Step 4: Simplify right side
   380,509.50x = 672,211,413,225
5. Step 5: Solve for x
   x = 672,211,413,225/380,509.50
6. Step 6: Final answer
   x = 1,766,608.75