Finding the Third Proportional to 65,378 and 103,696

Step by Step Solution

1. Step 1: Write the proportion equation
   65,378 : 103,696 = 103,696 : x
2. Step 2: Convert to fraction form
   65,378/103,696 = 103,696/x
3. Step 3: Cross multiply
   65,378x = 103,696 × 103,696
4. Step 4: Simplify right side
   65,378x = 10,752,860,416
5. Step 5: Solve for x
   x = 10,752,860,416/65,378
6. Step 6: Final answer
   x = 164,472.15