Finding the Third Proportional to 86.53 and 185.91

Step by Step Solution

1. Step 1: Write the proportion equation
   86.53 : 185.91 = 185.91 : x
2. Step 2: Convert to fraction form
   86.53/185.91 = 185.91/x
3. Step 3: Cross multiply
   86.53x = 185.91 × 185.91
4. Step 4: Simplify right side
   86.53x = 34,561.13
5. Step 5: Solve for x
   x = 34,561.13/86.53
6. Step 6: Final answer
   x = 399.41