Finding the Third Proportional to 85,659 and 184,443

Step by Step Solution

1. Step 1: Write the proportion equation
   85,659 : 184,443 = 184,443 : x
2. Step 2: Convert to fraction form
   85,659/184,443 = 184,443/x
3. Step 3: Cross multiply
   85,659x = 184,443 × 184,443
4. Step 4: Simplify right side
   85,659x = 34,019,220,249
5. Step 5: Solve for x
   x = 34,019,220,249/85,659
6. Step 6: Final answer
   x = 397,147.06