Finding the Third Proportional to 59,361 and 126,443

Step by Step Solution

1. Step 1: Write the proportion equation
   59,361 : 126,443 = 126,443 : x
2. Step 2: Convert to fraction form
   59,361/126,443 = 126,443/x
3. Step 3: Cross multiply
   59,361x = 126,443 × 126,443
4. Step 4: Simplify right side
   59,361x = 15,987,832,249
5. Step 5: Solve for x
   x = 15,987,832,249/59,361
6. Step 6: Final answer
   x = 269,332.26