Finding the Third Proportional to 85,647 and 184,419

Step by Step Solution

1. Step 1: Write the proportion equation
   85,647 : 184,419 = 184,419 : x
2. Step 2: Convert to fraction form
   85,647/184,419 = 184,419/x
3. Step 3: Cross multiply
   85,647x = 184,419 × 184,419
4. Step 4: Simplify right side
   85,647x = 34,010,367,561
5. Step 5: Solve for x
   x = 34,010,367,561/85,647
6. Step 6: Final answer
   x = 397,099.34