Finding the Third Proportional to 85.69 and 182.63

Step by Step Solution

1. Step 1: Write the proportion equation
   85.69 : 182.63 = 182.63 : x
2. Step 2: Convert to fraction form
   85.69/182.63 = 182.63/x
3. Step 3: Cross multiply
   85.69x = 182.63 × 182.63
4. Step 4: Simplify right side
   85.69x = 33,351.89
5. Step 5: Solve for x
   x = 33,351.89/85.69
6. Step 6: Final answer
   x = 389.23