Finding the Third Proportional to 108,200 and 233,680

Step by Step Solution

1. Step 1: Write the proportion equation
   108,200 : 233,680 = 233,680 : x
2. Step 2: Convert to fraction form
   108,200/233,680 = 233,680/x
3. Step 3: Cross multiply
   108,200x = 233,680 × 233,680
4. Step 4: Simplify right side
   108,200x = 54,606,342,400
5. Step 5: Solve for x
   x = 54,606,342,400/108,200
6. Step 6: Final answer
   x = 504,679.69