Finding the Third Proportional to 188,646 and 280,406

Step by Step Solution

1. Step 1: Write the proportion equation
   188,646 : 280,406 = 280,406 : x
2. Step 2: Convert to fraction form
   188,646/280,406 = 280,406/x
3. Step 3: Cross multiply
   188,646x = 280,406 × 280,406
4. Step 4: Simplify right side
   188,646x = 78,627,524,836
5. Step 5: Solve for x
   x = 78,627,524,836/188,646
6. Step 6: Final answer
   x = 416,799.32