Finding the Third Proportional to 87.66 and 188.86

Step by Step Solution

1. Step 1: Write the proportion equation
   87.66 : 188.86 = 188.86 : x
2. Step 2: Convert to fraction form
   87.66/188.86 = 188.86/x
3. Step 3: Cross multiply
   87.66x = 188.86 × 188.86
4. Step 4: Simplify right side
   87.66x = 35,667.86
5. Step 5: Solve for x
   x = 35,667.86/87.66
6. Step 6: Final answer
   x = 406.91