Finding the Third Proportional to 116,880 and 165,384

Step by Step Solution

1. Step 1: Write the proportion equation
   116,880 : 165,384 = 165,384 : x
2. Step 2: Convert to fraction form
   116,880/165,384 = 165,384/x
3. Step 3: Cross multiply
   116,880x = 165,384 × 165,384
4. Step 4: Simplify right side
   116,880x = 27,351,867,456
5. Step 5: Solve for x
   x = 27,351,867,456/116,880
6. Step 6: Final answer
   x = 234,016.66