Finding the Third Proportional to 139,560 and 204,804

Step by Step Solution

1. Step 1: Write the proportion equation
   139,560 : 204,804 = 204,804 : x
2. Step 2: Convert to fraction form
   139,560/204,804 = 204,804/x
3. Step 3: Cross multiply
   139,560x = 204,804 × 204,804
4. Step 4: Simplify right side
   139,560x = 41,944,678,416
5. Step 5: Solve for x
   x = 41,944,678,416/139,560
6. Step 6: Final answer
   x = 300,549.43