Finding the Third Proportional to 139,828 and 209,757

Step by Step Solution

1. Step 1: Write the proportion equation
   139,828 : 209,757 = 209,757 : x
2. Step 2: Convert to fraction form
   139,828/209,757 = 209,757/x
3. Step 3: Cross multiply
   139,828x = 209,757 × 209,757
4. Step 4: Simplify right side
   139,828x = 43,997,999,049
5. Step 5: Solve for x
   x = 43,997,999,049/139,828
6. Step 6: Final answer
   x = 314,658.00