Finding the Third Proportional to 65,456 and 102,396

Step by Step Solution

1. Step 1: Write the proportion equation
   65,456 : 102,396 = 102,396 : x
2. Step 2: Convert to fraction form
   65,456/102,396 = 102,396/x
3. Step 3: Cross multiply
   65,456x = 102,396 × 102,396
4. Step 4: Simplify right side
   65,456x = 10,484,940,816
5. Step 5: Solve for x
   x = 10,484,940,816/65,456
6. Step 6: Final answer
   x = 160,183.04