Finding the Third Proportional to 109,182 and 166,686

Step by Step Solution

1. Step 1: Write the proportion equation
   109,182 : 166,686 = 166,686 : x
2. Step 2: Convert to fraction form
   109,182/166,686 = 166,686/x
3. Step 3: Cross multiply
   109,182x = 166,686 × 166,686
4. Step 4: Simplify right side
   109,182x = 27,784,222,596
5. Step 5: Solve for x
   x = 27,784,222,596/109,182
6. Step 6: Final answer
   x = 254,476.22