Finding the Third Proportional to 86,606 and 188,008

Step by Step Solution

1. Step 1: Write the proportion equation
   86,606 : 188,008 = 188,008 : x
2. Step 2: Convert to fraction form
   86,606/188,008 = 188,008/x
3. Step 3: Cross multiply
   86,606x = 188,008 × 188,008
4. Step 4: Simplify right side
   86,606x = 35,347,008,064
5. Step 5: Solve for x
   x = 35,347,008,064/86,606
6. Step 6: Final answer
   x = 408,135.79