Finding the Third Proportional to 185,886 and 280,570

Step by Step Solution

1. Step 1: Write the proportion equation
   185,886 : 280,570 = 280,570 : x
2. Step 2: Convert to fraction form
   185,886/280,570 = 280,570/x
3. Step 3: Cross multiply
   185,886x = 280,570 × 280,570
4. Step 4: Simplify right side
   185,886x = 78,719,524,900
5. Step 5: Solve for x
   x = 78,719,524,900/185,886
6. Step 6: Final answer
   x = 423,482.81