Finding the Third Proportional to 359,408 and 563,760

Step by Step Solution

1. Step 1: Write the proportion equation
   359,408 : 563,760 = 563,760 : x
2. Step 2: Convert to fraction form
   359,408/563,760 = 563,760/x
3. Step 3: Cross multiply
   359,408x = 563,760 × 563,760
4. Step 4: Simplify right side
   359,408x = 317,825,337,600
5. Step 5: Solve for x
   x = 317,825,337,600/359,408
6. Step 6: Final answer
   x = 884,302.35