Finding the Third Proportional to 86.38 and 183.31

Step by Step Solution

1. Step 1: Write the proportion equation
   86.38 : 183.31 = 183.31 : x
2. Step 2: Convert to fraction form
   86.38/183.31 = 183.31/x
3. Step 3: Cross multiply
   86.38x = 183.31 × 183.31
4. Step 4: Simplify right side
   86.38x = 33,603.47
5. Step 5: Solve for x
   x = 33,603.47/86.38
6. Step 6: Final answer
   x = 389.04