Finding the Third Proportional to 76,659 and 166,818

Step by Step Solution

1. Step 1: Write the proportion equation
   76,659 : 166,818 = 166,818 : x
2. Step 2: Convert to fraction form
   76,659/166,818 = 166,818/x
3. Step 3: Cross multiply
   76,659x = 166,818 × 166,818
4. Step 4: Simplify right side
   76,659x = 27,828,245,124
5. Step 5: Solve for x
   x = 27,828,245,124/76,659
6. Step 6: Final answer
   x = 363,013.41