Finding the Third Proportional to 359,456 and 563,832

Step by Step Solution

1. Step 1: Write the proportion equation
   359,456 : 563,832 = 563,832 : x
2. Step 2: Convert to fraction form
   359,456/563,832 = 563,832/x
3. Step 3: Cross multiply
   359,456x = 563,832 × 563,832
4. Step 4: Simplify right side
   359,456x = 317,906,524,224
5. Step 5: Solve for x
   x = 317,906,524,224/359,456
6. Step 6: Final answer
   x = 884,410.12