Finding the Third Proportional to 78,397 and 117,771

Step by Step Solution

1. Step 1: Write the proportion equation
   78,397 : 117,771 = 117,771 : x
2. Step 2: Convert to fraction form
   78,397/117,771 = 117,771/x
3. Step 3: Cross multiply
   78,397x = 117,771 × 117,771
4. Step 4: Simplify right side
   78,397x = 13,870,008,441
5. Step 5: Solve for x
   x = 13,870,008,441/78,397
6. Step 6: Final answer
   x = 176,920.14