Finding the Third Proportional to 47,012 and 102,914

Step by Step Solution

1. Step 1: Write the proportion equation
   47,012 : 102,914 = 102,914 : x
2. Step 2: Convert to fraction form
   47,012/102,914 = 102,914/x
3. Step 3: Cross multiply
   47,012x = 102,914 × 102,914
4. Step 4: Simplify right side
   47,012x = 10,591,291,396
5. Step 5: Solve for x
   x = 10,591,291,396/47,012
6. Step 6: Final answer
   x = 225,289.10