Finding the Third Proportional to 83,786 and 182,116

Step by Step Solution

1. Step 1: Write the proportion equation
   83,786 : 182,116 = 182,116 : x
2. Step 2: Convert to fraction form
   83,786/182,116 = 182,116/x
3. Step 3: Cross multiply
   83,786x = 182,116 × 182,116
4. Step 4: Simplify right side
   83,786x = 33,166,237,456
5. Step 5: Solve for x
   x = 33,166,237,456/83,786
6. Step 6: Final answer
   x = 395,844.62