Finding the Third Proportional to 64,966 and 139,976

Step by Step Solution

1. Step 1: Write the proportion equation
   64,966 : 139,976 = 139,976 : x
2. Step 2: Convert to fraction form
   64,966/139,976 = 139,976/x
3. Step 3: Cross multiply
   64,966x = 139,976 × 139,976
4. Step 4: Simplify right side
   64,966x = 19,593,280,576
5. Step 5: Solve for x
   x = 19,593,280,576/64,966
6. Step 6: Final answer
   x = 301,592.84