Finding the Third Proportional to 85.22 and 184.78

Step by Step Solution

1. Step 1: Write the proportion equation
   85.22 : 184.78 = 184.78 : x
2. Step 2: Convert to fraction form
   85.22/184.78 = 184.78/x
3. Step 3: Cross multiply
   85.22x = 184.78 × 184.78
4. Step 4: Simplify right side
   85.22x = 34,144.11
5. Step 5: Solve for x
   x = 34,144.11/85.22
6. Step 6: Final answer
   x = 400.66