Finding the Third Proportional to 78,932 and 173,144

Step by Step Solution

1. Step 1: Write the proportion equation
   78,932 : 173,144 = 173,144 : x
2. Step 2: Convert to fraction form
   78,932/173,144 = 173,144/x
3. Step 3: Cross multiply
   78,932x = 173,144 × 173,144
4. Step 4: Simplify right side
   78,932x = 29,978,844,736
5. Step 5: Solve for x
   x = 29,978,844,736/78,932
6. Step 6: Final answer
   x = 379,805.97