Finding the Third Proportional to 65,591 and 140,733

Step by Step Solution

1. Step 1: Write the proportion equation
   65,591 : 140,733 = 140,733 : x
2. Step 2: Convert to fraction form
   65,591/140,733 = 140,733/x
3. Step 3: Cross multiply
   65,591x = 140,733 × 140,733
4. Step 4: Simplify right side
   65,591x = 19,805,777,289
5. Step 5: Solve for x
   x = 19,805,777,289/65,591
6. Step 6: Final answer
   x = 301,958.76