Finding the Third Proportional to 139,092 and 209,286

Step by Step Solution

1. Step 1: Write the proportion equation
   139,092 : 209,286 = 209,286 : x
2. Step 2: Convert to fraction form
   139,092/209,286 = 209,286/x
3. Step 3: Cross multiply
   139,092x = 209,286 × 209,286
4. Step 4: Simplify right side
   139,092x = 43,800,629,796
5. Step 5: Solve for x
   x = 43,800,629,796/139,092
6. Step 6: Final answer
   x = 314,904.02