Finding the Third Proportional to 458,661 and 674,510

Step by Step Solution

1. Step 1: Write the proportion equation
   458,661 : 674,510 = 674,510 : x
2. Step 2: Convert to fraction form
   458,661/674,510 = 674,510/x
3. Step 3: Cross multiply
   458,661x = 674,510 × 674,510
4. Step 4: Simplify right side
   458,661x = 454,963,740,100
5. Step 5: Solve for x
   x = 454,963,740,100/458,661
6. Step 6: Final answer
   x = 991,939.01