Finding the Third Proportional to 86,722 and 186,384

Step by Step Solution

1. Step 1: Write the proportion equation
   86,722 : 186,384 = 186,384 : x
2. Step 2: Convert to fraction form
   86,722/186,384 = 186,384/x
3. Step 3: Cross multiply
   86,722x = 186,384 × 186,384
4. Step 4: Simplify right side
   86,722x = 34,738,995,456
5. Step 5: Solve for x
   x = 34,738,995,456/86,722
6. Step 6: Final answer
   x = 400,578.81