Finding the Third Proportional to 85.69 and 186.56

Step by Step Solution

1. Step 1: Write the proportion equation
   85.69 : 186.56 = 186.56 : x
2. Step 2: Convert to fraction form
   85.69/186.56 = 186.56/x
3. Step 3: Cross multiply
   85.69x = 186.56 × 186.56
4. Step 4: Simplify right side
   85.69x = 34,805.57
5. Step 5: Solve for x
   x = 34,805.57/85.69
6. Step 6: Final answer
   x = 406.19