Finding the Third Proportional to 384,633 and 597,105

Step by Step Solution

1. Step 1: Write the proportion equation
   384,633 : 597,105 = 597,105 : x
2. Step 2: Convert to fraction form
   384,633/597,105 = 597,105/x
3. Step 3: Cross multiply
   384,633x = 597,105 × 597,105
4. Step 4: Simplify right side
   384,633x = 356,534,381,025
5. Step 5: Solve for x
   x = 356,534,381,025/384,633
6. Step 6: Final answer
   x = 926,946.94