Finding the Third Proportional to 105,284 and 166,696

Step by Step Solution

1. Step 1: Write the proportion equation
   105,284 : 166,696 = 166,696 : x
2. Step 2: Convert to fraction form
   105,284/166,696 = 166,696/x
3. Step 3: Cross multiply
   105,284x = 166,696 × 166,696
4. Step 4: Simplify right side
   105,284x = 27,787,556,416
5. Step 5: Solve for x
   x = 27,787,556,416/105,284
6. Step 6: Final answer
   x = 263,929.53