Finding the Third Proportional to 118,336 and 178,736

Step by Step Solution

1. Step 1: Write the proportion equation
   118,336 : 178,736 = 178,736 : x
2. Step 2: Convert to fraction form
   118,336/178,736 = 178,736/x
3. Step 3: Cross multiply
   118,336x = 178,736 × 178,736
4. Step 4: Simplify right side
   118,336x = 31,946,557,696
5. Step 5: Solve for x
   x = 31,946,557,696/118,336
6. Step 6: Final answer
   x = 269,964.83