Finding the Third Proportional to 65,802 and 101,919

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 101,919 = 101,919 : x
2. Step 2: Convert to fraction form
   65,802/101,919 = 101,919/x
3. Step 3: Cross multiply
   65,802x = 101,919 × 101,919
4. Step 4: Simplify right side
   65,802x = 10,387,482,561
5. Step 5: Solve for x
   x = 10,387,482,561/65,802
6. Step 6: Final answer
   x = 157,859.68