Finding the Third Proportional to 85.50 and 188.69

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 188.69 = 188.69 : x
2. Step 2: Convert to fraction form
   85.50/188.69 = 188.69/x
3. Step 3: Cross multiply
   85.50x = 188.69 × 188.69
4. Step 4: Simplify right side
   85.50x = 35,602.97
5. Step 5: Solve for x
   x = 35,602.97/85.50
6. Step 6: Final answer
   x = 416.41