Finding the Third Proportional to 78,957 and 173,214

Step by Step Solution

1. Step 1: Write the proportion equation
   78,957 : 173,214 = 173,214 : x
2. Step 2: Convert to fraction form
   78,957/173,214 = 173,214/x
3. Step 3: Cross multiply
   78,957x = 173,214 × 173,214
4. Step 4: Simplify right side
   78,957x = 30,003,089,796
5. Step 5: Solve for x
   x = 30,003,089,796/78,957
6. Step 6: Final answer
   x = 379,992.78