Finding the Third Proportional to 205,634.50 and 280,142

Step by Step Solution

1. Step 1: Write the proportion equation
   205,634.50 : 280,142 = 280,142 : x
2. Step 2: Convert to fraction form
   205,634.50/280,142 = 280,142/x
3. Step 3: Cross multiply
   205,634.50x = 280,142 × 280,142
4. Step 4: Simplify right side
   205,634.50x = 78,479,540,164
5. Step 5: Solve for x
   x = 78,479,540,164/205,634.50
6. Step 6: Final answer
   x = 381,645.78