Finding the Third Proportional to 585,664 and 885,872

Step by Step Solution

1. Step 1: Write the proportion equation
   585,664 : 885,872 = 885,872 : x
2. Step 2: Convert to fraction form
   585,664/885,872 = 885,872/x
3. Step 3: Cross multiply
   585,664x = 885,872 × 885,872
4. Step 4: Simplify right side
   585,664x = 784,769,200,384
5. Step 5: Solve for x
   x = 784,769,200,384/585,664
6. Step 6: Final answer
   x = 1,339,964.90