Finding the Third Proportional to 139,732 and 209,696

Step by Step Solution

1. Step 1: Write the proportion equation
   139,732 : 209,696 = 209,696 : x
2. Step 2: Convert to fraction form
   139,732/209,696 = 209,696/x
3. Step 3: Cross multiply
   139,732x = 209,696 × 209,696
4. Step 4: Simplify right side
   139,732x = 43,972,412,416
5. Step 5: Solve for x
   x = 43,972,412,416/139,732
6. Step 6: Final answer
   x = 314,691.07