Finding the Third Proportional to 116,592 and 280,656

Step by Step Solution

1. Step 1: Write the proportion equation
   116,592 : 280,656 = 280,656 : x
2. Step 2: Convert to fraction form
   116,592/280,656 = 280,656/x
3. Step 3: Cross multiply
   116,592x = 280,656 × 280,656
4. Step 4: Simplify right side
   116,592x = 78,767,790,336
5. Step 5: Solve for x
   x = 78,767,790,336/116,592
6. Step 6: Final answer
   x = 675,584.86