Finding the Third Proportional to 85,895 and 184,488

Step by Step Solution

1. Step 1: Write the proportion equation
   85,895 : 184,488 = 184,488 : x
2. Step 2: Convert to fraction form
   85,895/184,488 = 184,488/x
3. Step 3: Cross multiply
   85,895x = 184,488 × 184,488
4. Step 4: Simplify right side
   85,895x = 34,035,822,144
5. Step 5: Solve for x
   x = 34,035,822,144/85,895
6. Step 6: Final answer
   x = 396,249.17