Finding the Third Proportional to 101,096 and 218,914

Step by Step Solution

1. Step 1: Write the proportion equation
   101,096 : 218,914 = 218,914 : x
2. Step 2: Convert to fraction form
   101,096/218,914 = 218,914/x
3. Step 3: Cross multiply
   101,096x = 218,914 × 218,914
4. Step 4: Simplify right side
   101,096x = 47,923,339,396
5. Step 5: Solve for x
   x = 47,923,339,396/101,096
6. Step 6: Final answer
   x = 474,037.94