Finding the Third Proportional to 456,871 and 981,782

Step by Step Solution

1. Step 1: Write the proportion equation
   456,871 : 981,782 = 981,782 : x
2. Step 2: Convert to fraction form
   456,871/981,782 = 981,782/x
3. Step 3: Cross multiply
   456,871x = 981,782 × 981,782
4. Step 4: Simplify right side
   456,871x = 963,895,895,524
5. Step 5: Solve for x
   x = 963,895,895,524/456,871
6. Step 6: Final answer
   x = 2,109,776.93