Finding the Third Proportional to 85.38 and 184.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.38 : 184.38 = 184.38 : x
2. Step 2: Convert to fraction form
   85.38/184.38 = 184.38/x
3. Step 3: Cross multiply
   85.38x = 184.38 × 184.38
4. Step 4: Simplify right side
   85.38x = 33,994.14
5. Step 5: Solve for x
   x = 33,994.14/85.38
6. Step 6: Final answer
   x = 398.17