Finding the Third Proportional to 116.25 and 181.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116.25 : 181.88 = 181.88 : x
2. Step 2: Convert to fraction form
   116.25/181.88 = 181.88/x
3. Step 3: Cross multiply
   116.25x = 181.88 × 181.88
4. Step 4: Simplify right side
   116.25x = 33,078.52
5. Step 5: Solve for x
   x = 33,078.52/116.25
6. Step 6: Final answer
   x = 284.55