Finding the Third Proportional to 384,538 and 828,238

Step by Step Solution

1. Step 1: Write the proportion equation
   384,538 : 828,238 = 828,238 : x
2. Step 2: Convert to fraction form
   384,538/828,238 = 828,238/x
3. Step 3: Cross multiply
   384,538x = 828,238 × 828,238
4. Step 4: Simplify right side
   384,538x = 685,978,184,644
5. Step 5: Solve for x
   x = 685,978,184,644/384,538
6. Step 6: Final answer
   x = 1,783,902.20