Finding the Third Proportional to 86,674 and 188,162

Step by Step Solution

1. Step 1: Write the proportion equation
   86,674 : 188,162 = 188,162 : x
2. Step 2: Convert to fraction form
   86,674/188,162 = 188,162/x
3. Step 3: Cross multiply
   86,674x = 188,162 × 188,162
4. Step 4: Simplify right side
   86,674x = 35,404,938,244
5. Step 5: Solve for x
   x = 35,404,938,244/86,674
6. Step 6: Final answer
   x = 408,483.95