Finding the Third Proportional to 64,828 and 105,856

Step by Step Solution

1. Step 1: Write the proportion equation
   64,828 : 105,856 = 105,856 : x
2. Step 2: Convert to fraction form
   64,828/105,856 = 105,856/x
3. Step 3: Cross multiply
   64,828x = 105,856 × 105,856
4. Step 4: Simplify right side
   64,828x = 11,205,492,736
5. Step 5: Solve for x
   x = 11,205,492,736/64,828
6. Step 6: Final answer
   x = 172,849.58