Finding the Third Proportional to 111,882 and 218,096

Step by Step Solution

1. Step 1: Write the proportion equation
   111,882 : 218,096 = 218,096 : x
2. Step 2: Convert to fraction form
   111,882/218,096 = 218,096/x
3. Step 3: Cross multiply
   111,882x = 218,096 × 218,096
4. Step 4: Simplify right side
   111,882x = 47,565,865,216
5. Step 5: Solve for x
   x = 47,565,865,216/111,882
6. Step 6: Final answer
   x = 425,143.14