Finding the Third Proportional to 282,664 and 404,614

Step by Step Solution

1. Step 1: Write the proportion equation
   282,664 : 404,614 = 404,614 : x
2. Step 2: Convert to fraction form
   282,664/404,614 = 404,614/x
3. Step 3: Cross multiply
   282,664x = 404,614 × 404,614
4. Step 4: Simplify right side
   282,664x = 163,712,488,996
5. Step 5: Solve for x
   x = 163,712,488,996/282,664
6. Step 6: Final answer
   x = 579,177.01