Finding the Third Proportional to 107,758 and 234,398

Step by Step Solution

1. Step 1: Write the proportion equation
   107,758 : 234,398 = 234,398 : x
2. Step 2: Convert to fraction form
   107,758/234,398 = 234,398/x
3. Step 3: Cross multiply
   107,758x = 234,398 × 234,398
4. Step 4: Simplify right side
   107,758x = 54,942,422,404
5. Step 5: Solve for x
   x = 54,942,422,404/107,758
6. Step 6: Final answer
   x = 509,868.62