Finding the Third Proportional to 65,032 and 139,768

Step by Step Solution

1. Step 1: Write the proportion equation
   65,032 : 139,768 = 139,768 : x
2. Step 2: Convert to fraction form
   65,032/139,768 = 139,768/x
3. Step 3: Cross multiply
   65,032x = 139,768 × 139,768
4. Step 4: Simplify right side
   65,032x = 19,535,093,824
5. Step 5: Solve for x
   x = 19,535,093,824/65,032
6. Step 6: Final answer
   x = 300,392.02