Finding the Third Proportional to 384,162 and 838,308

Step by Step Solution

1. Step 1: Write the proportion equation
   384,162 : 838,308 = 838,308 : x
2. Step 2: Convert to fraction form
   384,162/838,308 = 838,308/x
3. Step 3: Cross multiply
   384,162x = 838,308 × 838,308
4. Step 4: Simplify right side
   384,162x = 702,760,302,864
5. Step 5: Solve for x
   x = 702,760,302,864/384,162
6. Step 6: Final answer
   x = 1,829,333.21