Finding the Third Proportional to 108,195 and 233,670

Step by Step Solution

1. Step 1: Write the proportion equation
   108,195 : 233,670 = 233,670 : x
2. Step 2: Convert to fraction form
   108,195/233,670 = 233,670/x
3. Step 3: Cross multiply
   108,195x = 233,670 × 233,670
4. Step 4: Simplify right side
   108,195x = 54,601,668,900
5. Step 5: Solve for x
   x = 54,601,668,900/108,195
6. Step 6: Final answer
   x = 504,659.82