Finding the Third Proportional to 120,170 and 186,818

Step by Step Solution

1. Step 1: Write the proportion equation
   120,170 : 186,818 = 186,818 : x
2. Step 2: Convert to fraction form
   120,170/186,818 = 186,818/x
3. Step 3: Cross multiply
   120,170x = 186,818 × 186,818
4. Step 4: Simplify right side
   120,170x = 34,900,965,124
5. Step 5: Solve for x
   x = 34,900,965,124/120,170
6. Step 6: Final answer
   x = 290,429.93