Finding the Third Proportional to 362,768 and 563,096

Step by Step Solution

1. Step 1: Write the proportion equation
   362,768 : 563,096 = 563,096 : x
2. Step 2: Convert to fraction form
   362,768/563,096 = 563,096/x
3. Step 3: Cross multiply
   362,768x = 563,096 × 563,096
4. Step 4: Simplify right side
   362,768x = 317,077,105,216
5. Step 5: Solve for x
   x = 317,077,105,216/362,768
6. Step 6: Final answer
   x = 874,049.27