Finding the Third Proportional to 181.78 and 259.61

Step by Step Solution

1. Step 1: Write the proportion equation
   181.78 : 259.61 = 259.61 : x
2. Step 2: Convert to fraction form
   181.78/259.61 = 259.61/x
3. Step 3: Cross multiply
   181.78x = 259.61 × 259.61
4. Step 4: Simplify right side
   181.78x = 67,398.04
5. Step 5: Solve for x
   x = 67,398.04/181.78
6. Step 6: Final answer
   x = 370.78