Finding the Third Proportional to 64,309 and 139,016

Step by Step Solution

1. Step 1: Write the proportion equation
   64,309 : 139,016 = 139,016 : x
2. Step 2: Convert to fraction form
   64,309/139,016 = 139,016/x
3. Step 3: Cross multiply
   64,309x = 139,016 × 139,016
4. Step 4: Simplify right side
   64,309x = 19,325,448,256
5. Step 5: Solve for x
   x = 19,325,448,256/64,309
6. Step 6: Final answer
   x = 300,509.23