Finding the Third Proportional to 85.59 and 186.63

Step by Step Solution

1. Step 1: Write the proportion equation
   85.59 : 186.63 = 186.63 : x
2. Step 2: Convert to fraction form
   85.59/186.63 = 186.63/x
3. Step 3: Cross multiply
   85.59x = 186.63 × 186.63
4. Step 4: Simplify right side
   85.59x = 34,829.62
5. Step 5: Solve for x
   x = 34,829.62/85.59
6. Step 6: Final answer
   x = 406.95