Finding the Third Proportional to 105,250 and 166,642

Step by Step Solution

1. Step 1: Write the proportion equation
   105,250 : 166,642 = 166,642 : x
2. Step 2: Convert to fraction form
   105,250/166,642 = 166,642/x
3. Step 3: Cross multiply
   105,250x = 166,642 × 166,642
4. Step 4: Simplify right side
   105,250x = 27,769,556,164
5. Step 5: Solve for x
   x = 27,769,556,164/105,250
6. Step 6: Final answer
   x = 263,843.76