Finding the Third Proportional to 111,378 and 160,922

Step by Step Solution

1. Step 1: Write the proportion equation
   111,378 : 160,922 = 160,922 : x
2. Step 2: Convert to fraction form
   111,378/160,922 = 160,922/x
3. Step 3: Cross multiply
   111,378x = 160,922 × 160,922
4. Step 4: Simplify right side
   111,378x = 25,895,890,084
5. Step 5: Solve for x
   x = 25,895,890,084/111,378
6. Step 6: Final answer
   x = 232,504.53