Finding the Third Proportional to 85,896 and 184,494

Step by Step Solution

1. Step 1: Write the proportion equation
   85,896 : 184,494 = 184,494 : x
2. Step 2: Convert to fraction form
   85,896/184,494 = 184,494/x
3. Step 3: Cross multiply
   85,896x = 184,494 × 184,494
4. Step 4: Simplify right side
   85,896x = 34,038,036,036
5. Step 5: Solve for x
   x = 34,038,036,036/85,896
6. Step 6: Final answer
   x = 396,270.33