Finding the Third Proportional to 85,644 and 184,383

Step by Step Solution

1. Step 1: Write the proportion equation
   85,644 : 184,383 = 184,383 : x
2. Step 2: Convert to fraction form
   85,644/184,383 = 184,383/x
3. Step 3: Cross multiply
   85,644x = 184,383 × 184,383
4. Step 4: Simplify right side
   85,644x = 33,997,090,689
5. Step 5: Solve for x
   x = 33,997,090,689/85,644
6. Step 6: Final answer
   x = 396,958.23