Finding the Third Proportional to 64,865 and 139,735

Step by Step Solution

1. Step 1: Write the proportion equation
   64,865 : 139,735 = 139,735 : x
2. Step 2: Convert to fraction form
   64,865/139,735 = 139,735/x
3. Step 3: Cross multiply
   64,865x = 139,735 × 139,735
4. Step 4: Simplify right side
   64,865x = 19,525,870,225
5. Step 5: Solve for x
   x = 19,525,870,225/64,865
6. Step 6: Final answer
   x = 301,023.21