Finding the Third Proportional to 65,678 and 104,015

Step by Step Solution

1. Step 1: Write the proportion equation
   65,678 : 104,015 = 104,015 : x
2. Step 2: Convert to fraction form
   65,678/104,015 = 104,015/x
3. Step 3: Cross multiply
   65,678x = 104,015 × 104,015
4. Step 4: Simplify right side
   65,678x = 10,819,120,225
5. Step 5: Solve for x
   x = 10,819,120,225/65,678
6. Step 6: Final answer
   x = 164,729.75