Finding the Third Proportional to 103,926 and 231,626

Step by Step Solution

1. Step 1: Write the proportion equation
   103,926 : 231,626 = 231,626 : x
2. Step 2: Convert to fraction form
   103,926/231,626 = 231,626/x
3. Step 3: Cross multiply
   103,926x = 231,626 × 231,626
4. Step 4: Simplify right side
   103,926x = 53,650,603,876
5. Step 5: Solve for x
   x = 53,650,603,876/103,926
6. Step 6: Final answer
   x = 516,238.51