Finding the Third Proportional to 78,916 and 173,384

Step by Step Solution

1. Step 1: Write the proportion equation
   78,916 : 173,384 = 173,384 : x
2. Step 2: Convert to fraction form
   78,916/173,384 = 173,384/x
3. Step 3: Cross multiply
   78,916x = 173,384 × 173,384
4. Step 4: Simplify right side
   78,916x = 30,062,011,456
5. Step 5: Solve for x
   x = 30,062,011,456/78,916
6. Step 6: Final answer
   x = 380,936.84