Finding the Third Proportional to 75,200 and 111,990

Step by Step Solution

1. Step 1: Write the proportion equation
   75,200 : 111,990 = 111,990 : x
2. Step 2: Convert to fraction form
   75,200/111,990 = 111,990/x
3. Step 3: Cross multiply
   75,200x = 111,990 × 111,990
4. Step 4: Simplify right side
   75,200x = 12,541,760,100
5. Step 5: Solve for x
   x = 12,541,760,100/75,200
6. Step 6: Final answer
   x = 166,778.72