Finding the Third Proportional to 127.13 and 181.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127.13 : 181.69 = 181.69 : x
2. Step 2: Convert to fraction form
   127.13/181.69 = 181.69/x
3. Step 3: Cross multiply
   127.13x = 181.69 × 181.69
4. Step 4: Simplify right side
   127.13x = 33,010.35
5. Step 5: Solve for x
   x = 33,010.35/127.13
6. Step 6: Final answer
   x = 259.67