Finding the Third Proportional to 65,758 and 144,031

Step by Step Solution

1. Step 1: Write the proportion equation
   65,758 : 144,031 = 144,031 : x
2. Step 2: Convert to fraction form
   65,758/144,031 = 144,031/x
3. Step 3: Cross multiply
   65,758x = 144,031 × 144,031
4. Step 4: Simplify right side
   65,758x = 20,744,928,961
5. Step 5: Solve for x
   x = 20,744,928,961/65,758
6. Step 6: Final answer
   x = 315,473.84