Finding the Third Proportional to 80,162 and 168,964

Step by Step Solution

1. Step 1: Write the proportion equation
   80,162 : 168,964 = 168,964 : x
2. Step 2: Convert to fraction form
   80,162/168,964 = 168,964/x
3. Step 3: Cross multiply
   80,162x = 168,964 × 168,964
4. Step 4: Simplify right side
   80,162x = 28,548,833,296
5. Step 5: Solve for x
   x = 28,548,833,296/80,162
6. Step 6: Final answer
   x = 356,139.23