Finding the Third Proportional to 85.69 and 181.31

Step by Step Solution

1. Step 1: Write the proportion equation
   85.69 : 181.31 = 181.31 : x
2. Step 2: Convert to fraction form
   85.69/181.31 = 181.31/x
3. Step 3: Cross multiply
   85.69x = 181.31 × 181.31
4. Step 4: Simplify right side
   85.69x = 32,874.22
5. Step 5: Solve for x
   x = 32,874.22/85.69
6. Step 6: Final answer
   x = 383.65