Finding the Third Proportional to 64,571 and 139,336

Step by Step Solution

1. Step 1: Write the proportion equation
   64,571 : 139,336 = 139,336 : x
2. Step 2: Convert to fraction form
   64,571/139,336 = 139,336/x
3. Step 3: Cross multiply
   64,571x = 139,336 × 139,336
4. Step 4: Simplify right side
   64,571x = 19,414,520,896
5. Step 5: Solve for x
   x = 19,414,520,896/64,571
6. Step 6: Final answer
   x = 300,669.35