Finding the Third Proportional to 164,880 and 356,112

Step by Step Solution

1. Step 1: Write the proportion equation
   164,880 : 356,112 = 356,112 : x
2. Step 2: Convert to fraction form
   164,880/356,112 = 356,112/x
3. Step 3: Cross multiply
   164,880x = 356,112 × 356,112
4. Step 4: Simplify right side
   164,880x = 126,815,756,544
5. Step 5: Solve for x
   x = 126,815,756,544/164,880
6. Step 6: Final answer
   x = 769,139.72