Finding the Third Proportional to 382,894 and 784,892

Step by Step Solution

1. Step 1: Write the proportion equation
   382,894 : 784,892 = 784,892 : x
2. Step 2: Convert to fraction form
   382,894/784,892 = 784,892/x
3. Step 3: Cross multiply
   382,894x = 784,892 × 784,892
4. Step 4: Simplify right side
   382,894x = 616,055,451,664
5. Step 5: Solve for x
   x = 616,055,451,664/382,894
6. Step 6: Final answer
   x = 1,608,945.17