Finding the Third Proportional to 69,296 and 111,600

Step by Step Solution

1. Step 1: Write the proportion equation
   69,296 : 111,600 = 111,600 : x
2. Step 2: Convert to fraction form
   69,296/111,600 = 111,600/x
3. Step 3: Cross multiply
   69,296x = 111,600 × 111,600
4. Step 4: Simplify right side
   69,296x = 12,454,560,000
5. Step 5: Solve for x
   x = 12,454,560,000/69,296
6. Step 6: Final answer
   x = 179,729.85