Finding the Third Proportional to 384,179.25 and 563,813

Step by Step Solution

1. Step 1: Write the proportion equation
   384,179.25 : 563,813 = 563,813 : x
2. Step 2: Convert to fraction form
   384,179.25/563,813 = 563,813/x
3. Step 3: Cross multiply
   384,179.25x = 563,813 × 563,813
4. Step 4: Simplify right side
   384,179.25x = 317,885,098,969
5. Step 5: Solve for x
   x = 317,885,098,969/384,179.25
6. Step 6: Final answer
   x = 827,439.53