Finding the Third Proportional to 185,944 and 280,662

Step by Step Solution

1. Step 1: Write the proportion equation
   185,944 : 280,662 = 280,662 : x
2. Step 2: Convert to fraction form
   185,944/280,662 = 280,662/x
3. Step 3: Cross multiply
   185,944x = 280,662 × 280,662
4. Step 4: Simplify right side
   185,944x = 78,771,158,244
5. Step 5: Solve for x
   x = 78,771,158,244/185,944
6. Step 6: Final answer
   x = 423,628.39