Finding the Third Proportional to 65,034 and 139,740

Step by Step Solution

1. Step 1: Write the proportion equation
   65,034 : 139,740 = 139,740 : x
2. Step 2: Convert to fraction form
   65,034/139,740 = 139,740/x
3. Step 3: Cross multiply
   65,034x = 139,740 × 139,740
4. Step 4: Simplify right side
   65,034x = 19,527,267,600
5. Step 5: Solve for x
   x = 19,527,267,600/65,034
6. Step 6: Final answer
   x = 300,262.44