Finding the Third Proportional to 83,405 and 179,770

Step by Step Solution

1. Step 1: Write the proportion equation
   83,405 : 179,770 = 179,770 : x
2. Step 2: Convert to fraction form
   83,405/179,770 = 179,770/x
3. Step 3: Cross multiply
   83,405x = 179,770 × 179,770
4. Step 4: Simplify right side
   83,405x = 32,317,252,900
5. Step 5: Solve for x
   x = 32,317,252,900/83,405
6. Step 6: Final answer
   x = 387,473.81