Finding the Third Proportional to 111,067 and 261,926

Step by Step Solution

1. Step 1: Write the proportion equation
   111,067 : 261,926 = 261,926 : x
2. Step 2: Convert to fraction form
   111,067/261,926 = 261,926/x
3. Step 3: Cross multiply
   111,067x = 261,926 × 261,926
4. Step 4: Simplify right side
   111,067x = 68,605,229,476
5. Step 5: Solve for x
   x = 68,605,229,476/111,067
6. Step 6: Final answer
   x = 617,692.29