Finding the Third Proportional to 182,698 and 398,510

Step by Step Solution

1. Step 1: Write the proportion equation
   182,698 : 398,510 = 398,510 : x
2. Step 2: Convert to fraction form
   182,698/398,510 = 398,510/x
3. Step 3: Cross multiply
   182,698x = 398,510 × 398,510
4. Step 4: Simplify right side
   182,698x = 158,810,220,100
5. Step 5: Solve for x
   x = 158,810,220,100/182,698
6. Step 6: Final answer
   x = 869,249.91