Finding the Third Proportional to 139,711 and 209,576

Step by Step Solution

1. Step 1: Write the proportion equation
   139,711 : 209,576 = 209,576 : x
2. Step 2: Convert to fraction form
   139,711/209,576 = 209,576/x
3. Step 3: Cross multiply
   139,711x = 209,576 × 209,576
4. Step 4: Simplify right side
   139,711x = 43,922,099,776
5. Step 5: Solve for x
   x = 43,922,099,776/139,711
6. Step 6: Final answer
   x = 314,378.25