Finding the Third Proportional to 105,286 and 166,699

Step by Step Solution

1. Step 1: Write the proportion equation
   105,286 : 166,699 = 166,699 : x
2. Step 2: Convert to fraction form
   105,286/166,699 = 166,699/x
3. Step 3: Cross multiply
   105,286x = 166,699 × 166,699
4. Step 4: Simplify right side
   105,286x = 27,788,556,601
5. Step 5: Solve for x
   x = 27,788,556,601/105,286
6. Step 6: Final answer
   x = 263,934.01