Finding the Third Proportional to 65,383 and 139,757

Step by Step Solution

1. Step 1: Write the proportion equation
   65,383 : 139,757 = 139,757 : x
2. Step 2: Convert to fraction form
   65,383/139,757 = 139,757/x
3. Step 3: Cross multiply
   65,383x = 139,757 × 139,757
4. Step 4: Simplify right side
   65,383x = 19,532,019,049
5. Step 5: Solve for x
   x = 19,532,019,049/65,383
6. Step 6: Final answer
   x = 298,732.38