Finding the Third Proportional to 57,870 and 126,858

Step by Step Solution

1. Step 1: Write the proportion equation
   57,870 : 126,858 = 126,858 : x
2. Step 2: Convert to fraction form
   57,870/126,858 = 126,858/x
3. Step 3: Cross multiply
   57,870x = 126,858 × 126,858
4. Step 4: Simplify right side
   57,870x = 16,092,952,164
5. Step 5: Solve for x
   x = 16,092,952,164/57,870
6. Step 6: Final answer
   x = 278,087.99