Finding the Third Proportional to 78,821 and 172,958

Step by Step Solution

1. Step 1: Write the proportion equation
   78,821 : 172,958 = 172,958 : x
2. Step 2: Convert to fraction form
   78,821/172,958 = 172,958/x
3. Step 3: Cross multiply
   78,821x = 172,958 × 172,958
4. Step 4: Simplify right side
   78,821x = 29,914,469,764
5. Step 5: Solve for x
   x = 29,914,469,764/78,821
6. Step 6: Final answer
   x = 379,524.11