Finding the Third Proportional to 65,486 and 103,856

Step by Step Solution

1. Step 1: Write the proportion equation
   65,486 : 103,856 = 103,856 : x
2. Step 2: Convert to fraction form
   65,486/103,856 = 103,856/x
3. Step 3: Cross multiply
   65,486x = 103,856 × 103,856
4. Step 4: Simplify right side
   65,486x = 10,786,068,736
5. Step 5: Solve for x
   x = 10,786,068,736/65,486
6. Step 6: Final answer
   x = 164,708.01