Finding the Third Proportional to 181.83 and 424.83

Step by Step Solution

1. Step 1: Write the proportion equation
   181.83 : 424.83 = 424.83 : x
2. Step 2: Convert to fraction form
   181.83/424.83 = 424.83/x
3. Step 3: Cross multiply
   181.83x = 424.83 × 424.83
4. Step 4: Simplify right side
   181.83x = 180,478.94
5. Step 5: Solve for x
   x = 180,478.94/181.83
6. Step 6: Final answer
   x = 992.58