Finding the Third Proportional to 83,684 and 182,131

Step by Step Solution

1. Step 1: Write the proportion equation
   83,684 : 182,131 = 182,131 : x
2. Step 2: Convert to fraction form
   83,684/182,131 = 182,131/x
3. Step 3: Cross multiply
   83,684x = 182,131 × 182,131
4. Step 4: Simplify right side
   83,684x = 33,171,701,161
5. Step 5: Solve for x
   x = 33,171,701,161/83,684
6. Step 6: Final answer
   x = 396,392.39