Finding the Third Proportional to 384,510 and 828,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,510 : 828,185.50 = 828,185.50 : x
2. Step 2: Convert to fraction form
   384,510/828,185.50 = 828,185.50/x
3. Step 3: Cross multiply
   384,510x = 828,185.50 × 828,185.50
4. Step 4: Simplify right side
   384,510x = 685,891,222,410.25
5. Step 5: Solve for x
   x = 685,891,222,410.25/384,510
6. Step 6: Final answer
   x = 1,783,805.94