Finding the Third Proportional to 85.88 and 185.53

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 185.53 = 185.53 : x
2. Step 2: Convert to fraction form
   85.88/185.53 = 185.53/x
3. Step 3: Cross multiply
   85.88x = 185.53 × 185.53
4. Step 4: Simplify right side
   85.88x = 34,421.84
5. Step 5: Solve for x
   x = 34,421.84/85.88
6. Step 6: Final answer
   x = 400.84