Finding the Third Proportional to 65,337 and 143,128

Step by Step Solution

1. Step 1: Write the proportion equation
   65,337 : 143,128 = 143,128 : x
2. Step 2: Convert to fraction form
   65,337/143,128 = 143,128/x
3. Step 3: Cross multiply
   65,337x = 143,128 × 143,128
4. Step 4: Simplify right side
   65,337x = 20,485,624,384
5. Step 5: Solve for x
   x = 20,485,624,384/65,337
6. Step 6: Final answer
   x = 313,537.88