Finding the Third Proportional to 111,778 and 171,555

Step by Step Solution

1. Step 1: Write the proportion equation
   111,778 : 171,555 = 171,555 : x
2. Step 2: Convert to fraction form
   111,778/171,555 = 171,555/x
3. Step 3: Cross multiply
   111,778x = 171,555 × 171,555
4. Step 4: Simplify right side
   111,778x = 29,431,118,025
5. Step 5: Solve for x
   x = 29,431,118,025/111,778
6. Step 6: Final answer
   x = 263,299.74