Finding the Third Proportional to 111,360 and 160,896

Step by Step Solution

1. Step 1: Write the proportion equation
   111,360 : 160,896 = 160,896 : x
2. Step 2: Convert to fraction form
   111,360/160,896 = 160,896/x
3. Step 3: Cross multiply
   111,360x = 160,896 × 160,896
4. Step 4: Simplify right side
   111,360x = 25,887,522,816
5. Step 5: Solve for x
   x = 25,887,522,816/111,360
6. Step 6: Final answer
   x = 232,466.98