Finding the Third Proportional to 86,066 and 188,722

Step by Step Solution

1. Step 1: Write the proportion equation
   86,066 : 188,722 = 188,722 : x
2. Step 2: Convert to fraction form
   86,066/188,722 = 188,722/x
3. Step 3: Cross multiply
   86,066x = 188,722 × 188,722
4. Step 4: Simplify right side
   86,066x = 35,615,993,284
5. Step 5: Solve for x
   x = 35,615,993,284/86,066
6. Step 6: Final answer
   x = 413,821.87