Finding the Third Proportional to 78,823 and 117,946

Step by Step Solution

1. Step 1: Write the proportion equation
   78,823 : 117,946 = 117,946 : x
2. Step 2: Convert to fraction form
   78,823/117,946 = 117,946/x
3. Step 3: Cross multiply
   78,823x = 117,946 × 117,946
4. Step 4: Simplify right side
   78,823x = 13,911,258,916
5. Step 5: Solve for x
   x = 13,911,258,916/78,823
6. Step 6: Final answer
   x = 176,487.31