Finding the Third Proportional to 117.47 and 181.59

Step by Step Solution

1. Step 1: Write the proportion equation
   117.47 : 181.59 = 181.59 : x
2. Step 2: Convert to fraction form
   117.47/181.59 = 181.59/x
3. Step 3: Cross multiply
   117.47x = 181.59 × 181.59
4. Step 4: Simplify right side
   117.47x = 32,976.29
5. Step 5: Solve for x
   x = 32,976.29/117.47
6. Step 6: Final answer
   x = 280.72