Finding the Third Proportional to 282,661 and 404,611

Step by Step Solution

1. Step 1: Write the proportion equation
   282,661 : 404,611 = 404,611 : x
2. Step 2: Convert to fraction form
   282,661/404,611 = 404,611/x
3. Step 3: Cross multiply
   282,661x = 404,611 × 404,611
4. Step 4: Simplify right side
   282,661x = 163,710,061,321
5. Step 5: Solve for x
   x = 163,710,061,321/282,661
6. Step 6: Final answer
   x = 579,174.56