Finding the Third Proportional to 85,308 and 186,744

Step by Step Solution

1. Step 1: Write the proportion equation
   85,308 : 186,744 = 186,744 : x
2. Step 2: Convert to fraction form
   85,308/186,744 = 186,744/x
3. Step 3: Cross multiply
   85,308x = 186,744 × 186,744
4. Step 4: Simplify right side
   85,308x = 34,873,321,536
5. Step 5: Solve for x
   x = 34,873,321,536/85,308
6. Step 6: Final answer
   x = 408,793.10