Finding the Third Proportional to 116,280 and 258,858

Step by Step Solution

1. Step 1: Write the proportion equation
   116,280 : 258,858 = 258,858 : x
2. Step 2: Convert to fraction form
   116,280/258,858 = 258,858/x
3. Step 3: Cross multiply
   116,280x = 258,858 × 258,858
4. Step 4: Simplify right side
   116,280x = 67,007,464,164
5. Step 5: Solve for x
   x = 67,007,464,164/116,280
6. Step 6: Final answer
   x = 576,259.58