Finding the Third Proportional to 41,748 and 86,256

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748 : 86,256 = 86,256 : x
2. Step 2: Convert to fraction form
   41,748/86,256 = 86,256/x
3. Step 3: Cross multiply
   41,748x = 86,256 × 86,256
4. Step 4: Simplify right side
   41,748x = 7,440,097,536
5. Step 5: Solve for x
   x = 7,440,097,536/41,748
6. Step 6: Final answer
   x = 178,214.47