Finding the Third Proportional to 384,178.50 and 563,814

Step by Step Solution

1. Step 1: Write the proportion equation
   384,178.50 : 563,814 = 563,814 : x
2. Step 2: Convert to fraction form
   384,178.50/563,814 = 563,814/x
3. Step 3: Cross multiply
   384,178.50x = 563,814 × 563,814
4. Step 4: Simplify right side
   384,178.50x = 317,886,226,596
5. Step 5: Solve for x
   x = 317,886,226,596/384,178.50
6. Step 6: Final answer
   x = 827,444.08