Finding the Third Proportional to 86.86 and 189.47

Step by Step Solution

1. Step 1: Write the proportion equation
   86.86 : 189.47 = 189.47 : x
2. Step 2: Convert to fraction form
   86.86/189.47 = 189.47/x
3. Step 3: Cross multiply
   86.86x = 189.47 × 189.47
4. Step 4: Simplify right side
   86.86x = 35,898.41
5. Step 5: Solve for x
   x = 35,898.41/86.86
6. Step 6: Final answer
   x = 413.29