Finding the Third Proportional to 118,833 and 258,996

Step by Step Solution

1. Step 1: Write the proportion equation
   118,833 : 258,996 = 258,996 : x
2. Step 2: Convert to fraction form
   118,833/258,996 = 258,996/x
3. Step 3: Cross multiply
   118,833x = 258,996 × 258,996
4. Step 4: Simplify right side
   118,833x = 67,078,928,016
5. Step 5: Solve for x
   x = 67,078,928,016/118,833
6. Step 6: Final answer
   x = 564,480.64