Finding the Third Proportional to 127.88 and 181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 181.50 = 181.50 : x
2. Step 2: Convert to fraction form
   127.88/181.50 = 181.50/x
3. Step 3: Cross multiply
   127.88x = 181.50 × 181.50
4. Step 4: Simplify right side
   127.88x = 32,942.25
5. Step 5: Solve for x
   x = 32,942.25/127.88
6. Step 6: Final answer
   x = 257.61