Finding the Third Proportional to 54,202 and 111,860

Step by Step Solution

1. Step 1: Write the proportion equation
   54,202 : 111,860 = 111,860 : x
2. Step 2: Convert to fraction form
   54,202/111,860 = 111,860/x
3. Step 3: Cross multiply
   54,202x = 111,860 × 111,860
4. Step 4: Simplify right side
   54,202x = 12,512,659,600
5. Step 5: Solve for x
   x = 12,512,659,600/54,202
6. Step 6: Final answer
   x = 230,852.36