Finding the Third Proportional to 65,398 and 103,686

Step by Step Solution

1. Step 1: Write the proportion equation
   65,398 : 103,686 = 103,686 : x
2. Step 2: Convert to fraction form
   65,398/103,686 = 103,686/x
3. Step 3: Cross multiply
   65,398x = 103,686 × 103,686
4. Step 4: Simplify right side
   65,398x = 10,750,786,596
5. Step 5: Solve for x
   x = 10,750,786,596/65,398
6. Step 6: Final answer
   x = 164,390.14