Finding the Third Proportional to 159.47 and 181.22

Step by Step Solution

1. Step 1: Write the proportion equation
   159.47 : 181.22 = 181.22 : x
2. Step 2: Convert to fraction form
   159.47/181.22 = 181.22/x
3. Step 3: Cross multiply
   159.47x = 181.22 × 181.22
4. Step 4: Simplify right side
   159.47x = 32,841.30
5. Step 5: Solve for x
   x = 32,841.30/159.47
6. Step 6: Final answer
   x = 205.94