Finding the Third Proportional to 57,864.38 and 126,846

Step by Step Solution

1. Step 1: Write the proportion equation
   57,864.38 : 126,846 = 126,846 : x
2. Step 2: Convert to fraction form
   57,864.38/126,846 = 126,846/x
3. Step 3: Cross multiply
   57,864.38x = 126,846 × 126,846
4. Step 4: Simplify right side
   57,864.38x = 16,089,907,716
5. Step 5: Solve for x
   x = 16,089,907,716/57,864.38
6. Step 6: Final answer
   x = 278,062.41