Finding the Third Proportional to 116,208 and 173,856

Step by Step Solution

1. Step 1: Write the proportion equation
   116,208 : 173,856 = 173,856 : x
2. Step 2: Convert to fraction form
   116,208/173,856 = 173,856/x
3. Step 3: Cross multiply
   116,208x = 173,856 × 173,856
4. Step 4: Simplify right side
   116,208x = 30,225,908,736
5. Step 5: Solve for x
   x = 30,225,908,736/116,208
6. Step 6: Final answer
   x = 260,101.79