Finding the Third Proportional to 79,729 and 173,470

Step by Step Solution

1. Step 1: Write the proportion equation
   79,729 : 173,470 = 173,470 : x
2. Step 2: Convert to fraction form
   79,729/173,470 = 173,470/x
3. Step 3: Cross multiply
   79,729x = 173,470 × 173,470
4. Step 4: Simplify right side
   79,729x = 30,091,840,900
5. Step 5: Solve for x
   x = 30,091,840,900/79,729
6. Step 6: Final answer
   x = 377,426.54