Finding the Third Proportional to 139,856 and 209,880

Step by Step Solution

1. Step 1: Write the proportion equation
   139,856 : 209,880 = 209,880 : x
2. Step 2: Convert to fraction form
   139,856/209,880 = 209,880/x
3. Step 3: Cross multiply
   139,856x = 209,880 × 209,880
4. Step 4: Simplify right side
   139,856x = 44,049,614,400
5. Step 5: Solve for x
   x = 44,049,614,400/139,856
6. Step 6: Final answer
   x = 314,964.07