Finding the Third Proportional to 78,834 and 117,944

Step by Step Solution

1. Step 1: Write the proportion equation
   78,834 : 117,944 = 117,944 : x
2. Step 2: Convert to fraction form
   78,834/117,944 = 117,944/x
3. Step 3: Cross multiply
   78,834x = 117,944 × 117,944
4. Step 4: Simplify right side
   78,834x = 13,910,787,136
5. Step 5: Solve for x
   x = 13,910,787,136/78,834
6. Step 6: Final answer
   x = 176,456.70