Finding the Third Proportional to 47,865 and 100,914

Step by Step Solution

1. Step 1: Write the proportion equation
   47,865 : 100,914 = 100,914 : x
2. Step 2: Convert to fraction form
   47,865/100,914 = 100,914/x
3. Step 3: Cross multiply
   47,865x = 100,914 × 100,914
4. Step 4: Simplify right side
   47,865x = 10,183,635,396
5. Step 5: Solve for x
   x = 10,183,635,396/47,865
6. Step 6: Final answer
   x = 212,757.45