Finding the Third Proportional to 65,558 and 140,463

Step by Step Solution

1. Step 1: Write the proportion equation
   65,558 : 140,463 = 140,463 : x
2. Step 2: Convert to fraction form
   65,558/140,463 = 140,463/x
3. Step 3: Cross multiply
   65,558x = 140,463 × 140,463
4. Step 4: Simplify right side
   65,558x = 19,729,854,369
5. Step 5: Solve for x
   x = 19,729,854,369/65,558
6. Step 6: Final answer
   x = 300,952.66