Finding the Third Proportional to 65,020 and 139,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,020 : 139,739.50 = 139,739.50 : x
2. Step 2: Convert to fraction form
   65,020/139,739.50 = 139,739.50/x
3. Step 3: Cross multiply
   65,020x = 139,739.50 × 139,739.50
4. Step 4: Simplify right side
   65,020x = 19,527,127,860.25
5. Step 5: Solve for x
   x = 19,527,127,860.25/65,020
6. Step 6: Final answer
   x = 300,324.94