Finding the Third Proportional to 384,197 and 563,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,197 : 563,839.50 = 563,839.50 : x
2. Step 2: Convert to fraction form
   384,197/563,839.50 = 563,839.50/x
3. Step 3: Cross multiply
   384,197x = 563,839.50 × 563,839.50
4. Step 4: Simplify right side
   384,197x = 317,914,981,760.25
5. Step 5: Solve for x
   x = 317,914,981,760.25/384,197
6. Step 6: Final answer
   x = 827,479.08