Finding the Third Proportional to 282,654 and 404,601.75

Step by Step Solution

1. Step 1: Write the proportion equation
   282,654 : 404,601.75 = 404,601.75 : x
2. Step 2: Convert to fraction form
   282,654/404,601.75 = 404,601.75/x
3. Step 3: Cross multiply
   282,654x = 404,601.75 × 404,601.75
4. Step 4: Simplify right side
   282,654x = 163,702,576,103.06
5. Step 5: Solve for x
   x = 163,702,576,103.06/282,654
6. Step 6: Final answer
   x = 579,162.43