Finding the Third Proportional to 65,419 and 103,758

Step by Step Solution

1. Step 1: Write the proportion equation
   65,419 : 103,758 = 103,758 : x
2. Step 2: Convert to fraction form
   65,419/103,758 = 103,758/x
3. Step 3: Cross multiply
   65,419x = 103,758 × 103,758
4. Step 4: Simplify right side
   65,419x = 10,765,722,564
5. Step 5: Solve for x
   x = 10,765,722,564/65,419
6. Step 6: Final answer
   x = 164,565.69