Finding the Third Proportional to 191,284 and 280,782

Step by Step Solution

1. Step 1: Write the proportion equation
   191,284 : 280,782 = 280,782 : x
2. Step 2: Convert to fraction form
   191,284/280,782 = 280,782/x
3. Step 3: Cross multiply
   191,284x = 280,782 × 280,782
4. Step 4: Simplify right side
   191,284x = 78,838,531,524
5. Step 5: Solve for x
   x = 78,838,531,524/191,284
6. Step 6: Final answer
   x = 412,154.34