Finding the Third Proportional to 190,823 and 280,662

Step by Step Solution

1. Step 1: Write the proportion equation
   190,823 : 280,662 = 280,662 : x
2. Step 2: Convert to fraction form
   190,823/280,662 = 280,662/x
3. Step 3: Cross multiply
   190,823x = 280,662 × 280,662
4. Step 4: Simplify right side
   190,823x = 78,771,158,244
5. Step 5: Solve for x
   x = 78,771,158,244/190,823
6. Step 6: Final answer
   x = 412,796.98