Finding the Third Proportional to 384,209 and 563,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,209 : 563,857.50 = 563,857.50 : x
2. Step 2: Convert to fraction form
   384,209/563,857.50 = 563,857.50/x
3. Step 3: Cross multiply
   384,209x = 563,857.50 × 563,857.50
4. Step 4: Simplify right side
   384,209x = 317,935,280,306.25
5. Step 5: Solve for x
   x = 317,935,280,306.25/384,209
6. Step 6: Final answer
   x = 827,506.07