Finding the Third Proportional to 65,020 and 139,741

Step by Step Solution

1. Step 1: Write the proportion equation
   65,020 : 139,741 = 139,741 : x
2. Step 2: Convert to fraction form
   65,020/139,741 = 139,741/x
3. Step 3: Cross multiply
   65,020x = 139,741 × 139,741
4. Step 4: Simplify right side
   65,020x = 19,527,547,081
5. Step 5: Solve for x
   x = 19,527,547,081/65,020
6. Step 6: Final answer
   x = 300,331.39