Finding the Third Proportional to 85.59 and 188.34

Step by Step Solution

1. Step 1: Write the proportion equation
   85.59 : 188.34 = 188.34 : x
2. Step 2: Convert to fraction form
   85.59/188.34 = 188.34/x
3. Step 3: Cross multiply
   85.59x = 188.34 × 188.34
4. Step 4: Simplify right side
   85.59x = 35,473.37
5. Step 5: Solve for x
   x = 35,473.37/85.59
6. Step 6: Final answer
   x = 414.44