Finding the Third Proportional to 116,250 and 258,804

Step by Step Solution

1. Step 1: Write the proportion equation
   116,250 : 258,804 = 258,804 : x
2. Step 2: Convert to fraction form
   116,250/258,804 = 258,804/x
3. Step 3: Cross multiply
   116,250x = 258,804 × 258,804
4. Step 4: Simplify right side
   116,250x = 66,979,510,416
5. Step 5: Solve for x
   x = 66,979,510,416/116,250
6. Step 6: Final answer
   x = 576,167.83