Finding the Third Proportional to 139,756 and 221,406

Step by Step Solution

1. Step 1: Write the proportion equation
   139,756 : 221,406 = 221,406 : x
2. Step 2: Convert to fraction form
   139,756/221,406 = 221,406/x
3. Step 3: Cross multiply
   139,756x = 221,406 × 221,406
4. Step 4: Simplify right side
   139,756x = 49,020,616,836
5. Step 5: Solve for x
   x = 49,020,616,836/139,756
6. Step 6: Final answer
   x = 350,758.59