Finding the Third Proportional to 78,891 and 173,082

Step by Step Solution

1. Step 1: Write the proportion equation
   78,891 : 173,082 = 173,082 : x
2. Step 2: Convert to fraction form
   78,891/173,082 = 173,082/x
3. Step 3: Cross multiply
   78,891x = 173,082 × 173,082
4. Step 4: Simplify right side
   78,891x = 29,957,378,724
5. Step 5: Solve for x
   x = 29,957,378,724/78,891
6. Step 6: Final answer
   x = 379,731.26