Finding the Third Proportional to 384,558 and 596,996

Step by Step Solution

1. Step 1: Write the proportion equation
   384,558 : 596,996 = 596,996 : x
2. Step 2: Convert to fraction form
   384,558/596,996 = 596,996/x
3. Step 3: Cross multiply
   384,558x = 596,996 × 596,996
4. Step 4: Simplify right side
   384,558x = 356,404,224,016
5. Step 5: Solve for x
   x = 356,404,224,016/384,558
6. Step 6: Final answer
   x = 926,789.26