Finding the Third Proportional to 59,371 and 126,526

Step by Step Solution

1. Step 1: Write the proportion equation
   59,371 : 126,526 = 126,526 : x
2. Step 2: Convert to fraction form
   59,371/126,526 = 126,526/x
3. Step 3: Cross multiply
   59,371x = 126,526 × 126,526
4. Step 4: Simplify right side
   59,371x = 16,008,828,676
5. Step 5: Solve for x
   x = 16,008,828,676/59,371
6. Step 6: Final answer
   x = 269,640.54