Finding the Third Proportional to 185,562 and 280,062

Step by Step Solution

1. Step 1: Write the proportion equation
   185,562 : 280,062 = 280,062 : x
2. Step 2: Convert to fraction form
   185,562/280,062 = 280,062/x
3. Step 3: Cross multiply
   185,562x = 280,062 × 280,062
4. Step 4: Simplify right side
   185,562x = 78,434,723,844
5. Step 5: Solve for x
   x = 78,434,723,844/185,562
6. Step 6: Final answer
   x = 422,687.42