Finding the Third Proportional to 111,689 and 170,166

Step by Step Solution

1. Step 1: Write the proportion equation
   111,689 : 170,166 = 170,166 : x
2. Step 2: Convert to fraction form
   111,689/170,166 = 170,166/x
3. Step 3: Cross multiply
   111,689x = 170,166 × 170,166
4. Step 4: Simplify right side
   111,689x = 28,956,467,556
5. Step 5: Solve for x
   x = 28,956,467,556/111,689
6. Step 6: Final answer
   x = 259,259.80