Finding the Third Proportional to 47,877 and 100,977

Step by Step Solution

1. Step 1: Write the proportion equation
   47,877 : 100,977 = 100,977 : x
2. Step 2: Convert to fraction form
   47,877/100,977 = 100,977/x
3. Step 3: Cross multiply
   47,877x = 100,977 × 100,977
4. Step 4: Simplify right side
   47,877x = 10,196,354,529
5. Step 5: Solve for x
   x = 10,196,354,529/47,877
6. Step 6: Final answer
   x = 212,969.79