Finding the Third Proportional to 118,440 and 175,856

Step by Step Solution

1. Step 1: Write the proportion equation
   118,440 : 175,856 = 175,856 : x
2. Step 2: Convert to fraction form
   118,440/175,856 = 175,856/x
3. Step 3: Cross multiply
   118,440x = 175,856 × 175,856
4. Step 4: Simplify right side
   118,440x = 30,925,332,736
5. Step 5: Solve for x
   x = 30,925,332,736/118,440
6. Step 6: Final answer
   x = 261,105.48