Finding the Third Proportional to 65,003 and 140,667

Step by Step Solution

1. Step 1: Write the proportion equation
   65,003 : 140,667 = 140,667 : x
2. Step 2: Convert to fraction form
   65,003/140,667 = 140,667/x
3. Step 3: Cross multiply
   65,003x = 140,667 × 140,667
4. Step 4: Simplify right side
   65,003x = 19,787,204,889
5. Step 5: Solve for x
   x = 19,787,204,889/65,003
6. Step 6: Final answer
   x = 304,404.49