Finding the Third Proportional to 111,618 and 172,611

Step by Step Solution

1. Step 1: Write the proportion equation
   111,618 : 172,611 = 172,611 : x
2. Step 2: Convert to fraction form
   111,618/172,611 = 172,611/x
3. Step 3: Cross multiply
   111,618x = 172,611 × 172,611
4. Step 4: Simplify right side
   111,618x = 29,794,557,321
5. Step 5: Solve for x
   x = 29,794,557,321/111,618
6. Step 6: Final answer
   x = 266,933.27