Finding the Third Proportional to 57,780 and 126,886

Step by Step Solution

1. Step 1: Write the proportion equation
   57,780 : 126,886 = 126,886 : x
2. Step 2: Convert to fraction form
   57,780/126,886 = 126,886/x
3. Step 3: Cross multiply
   57,780x = 126,886 × 126,886
4. Step 4: Simplify right side
   57,780x = 16,100,056,996
5. Step 5: Solve for x
   x = 16,100,056,996/57,780
6. Step 6: Final answer
   x = 278,644.12