Finding the Third Proportional to 181.69 and 298.69

Step by Step Solution

1. Step 1: Write the proportion equation
   181.69 : 298.69 = 298.69 : x
2. Step 2: Convert to fraction form
   181.69/298.69 = 298.69/x
3. Step 3: Cross multiply
   181.69x = 298.69 × 298.69
4. Step 4: Simplify right side
   181.69x = 89,214.22
5. Step 5: Solve for x
   x = 89,214.22/181.69
6. Step 6: Final answer
   x = 491.03