Finding the Third Proportional to 59,554 and 126,020

Step by Step Solution

1. Step 1: Write the proportion equation
   59,554 : 126,020 = 126,020 : x
2. Step 2: Convert to fraction form
   59,554/126,020 = 126,020/x
3. Step 3: Cross multiply
   59,554x = 126,020 × 126,020
4. Step 4: Simplify right side
   59,554x = 15,881,040,400
5. Step 5: Solve for x
   x = 15,881,040,400/59,554
6. Step 6: Final answer
   x = 266,666.23