Finding the Third Proportional to 185,238 and 280,458

Step by Step Solution

1. Step 1: Write the proportion equation
   185,238 : 280,458 = 280,458 : x
2. Step 2: Convert to fraction form
   185,238/280,458 = 280,458/x
3. Step 3: Cross multiply
   185,238x = 280,458 × 280,458
4. Step 4: Simplify right side
   185,238x = 78,656,689,764
5. Step 5: Solve for x
   x = 78,656,689,764/185,238
6. Step 6: Final answer
   x = 424,625.02