Finding the Third Proportional to 384,204 and 563,850

Step by Step Solution

1. Step 1: Write the proportion equation
   384,204 : 563,850 = 563,850 : x
2. Step 2: Convert to fraction form
   384,204/563,850 = 563,850/x
3. Step 3: Cross multiply
   384,204x = 563,850 × 563,850
4. Step 4: Simplify right side
   384,204x = 317,926,822,500
5. Step 5: Solve for x
   x = 317,926,822,500/384,204
6. Step 6: Final answer
   x = 827,494.83