Finding the Third Proportional to 118,404 and 258,504

Step by Step Solution

1. Step 1: Write the proportion equation
   118,404 : 258,504 = 258,504 : x
2. Step 2: Convert to fraction form
   118,404/258,504 = 258,504/x
3. Step 3: Cross multiply
   118,404x = 258,504 × 258,504
4. Step 4: Simplify right side
   118,404x = 66,824,318,016
5. Step 5: Solve for x
   x = 66,824,318,016/118,404
6. Step 6: Final answer
   x = 564,375.51