Finding the Third Proportional to 86.59 and 188.37

Step by Step Solution

1. Step 1: Write the proportion equation
   86.59 : 188.37 = 188.37 : x
2. Step 2: Convert to fraction form
   86.59/188.37 = 188.37/x
3. Step 3: Cross multiply
   86.59x = 188.37 × 188.37
4. Step 4: Simplify right side
   86.59x = 35,482.20
5. Step 5: Solve for x
   x = 35,482.20/86.59
6. Step 6: Final answer
   x = 409.77