Finding the Third Proportional to 384,606 and 597,078

Step by Step Solution

1. Step 1: Write the proportion equation
   384,606 : 597,078 = 597,078 : x
2. Step 2: Convert to fraction form
   384,606/597,078 = 597,078/x
3. Step 3: Cross multiply
   384,606x = 597,078 × 597,078
4. Step 4: Simplify right side
   384,606x = 356,502,138,084
5. Step 5: Solve for x
   x = 356,502,138,084/384,606
6. Step 6: Final answer
   x = 926,928.18