Finding the Third Proportional to 85,857 and 184,410

Step by Step Solution

1. Step 1: Write the proportion equation
   85,857 : 184,410 = 184,410 : x
2. Step 2: Convert to fraction form
   85,857/184,410 = 184,410/x
3. Step 3: Cross multiply
   85,857x = 184,410 × 184,410
4. Step 4: Simplify right side
   85,857x = 34,007,048,100
5. Step 5: Solve for x
   x = 34,007,048,100/85,857
6. Step 6: Final answer
   x = 396,089.41