Finding the Third Proportional to 359,288 and 563,616

Step by Step Solution

1. Step 1: Write the proportion equation
   359,288 : 563,616 = 563,616 : x
2. Step 2: Convert to fraction form
   359,288/563,616 = 563,616/x
3. Step 3: Cross multiply
   359,288x = 563,616 × 563,616
4. Step 4: Simplify right side
   359,288x = 317,662,995,456
5. Step 5: Solve for x
   x = 317,662,995,456/359,288
6. Step 6: Final answer
   x = 884,145.85