Finding the Third Proportional to 59,791 and 126,870

Step by Step Solution

1. Step 1: Write the proportion equation
   59,791 : 126,870 = 126,870 : x
2. Step 2: Convert to fraction form
   59,791/126,870 = 126,870/x
3. Step 3: Cross multiply
   59,791x = 126,870 × 126,870
4. Step 4: Simplify right side
   59,791x = 16,095,996,900
5. Step 5: Solve for x
   x = 16,095,996,900/59,791
6. Step 6: Final answer
   x = 269,204.34