Finding the Third Proportional to 57,828 and 86,256

Step by Step Solution

1. Step 1: Write the proportion equation
   57,828 : 86,256 = 86,256 : x
2. Step 2: Convert to fraction form
   57,828/86,256 = 86,256/x
3. Step 3: Cross multiply
   57,828x = 86,256 × 86,256
4. Step 4: Simplify right side
   57,828x = 7,440,097,536
5. Step 5: Solve for x
   x = 7,440,097,536/57,828
6. Step 6: Final answer
   x = 128,659.08