Finding the Third Proportional to 181.83 and 404.02

Step by Step Solution

1. Step 1: Write the proportion equation
   181.83 : 404.02 = 404.02 : x
2. Step 2: Convert to fraction form
   181.83/404.02 = 404.02/x
3. Step 3: Cross multiply
   181.83x = 404.02 × 404.02
4. Step 4: Simplify right side
   181.83x = 163,228.63
5. Step 5: Solve for x
   x = 163,228.63/181.83
6. Step 6: Final answer
   x = 897.71