Finding the Third Proportional to 47,554 and 100,413

Step by Step Solution

1. Step 1: Write the proportion equation
   47,554 : 100,413 = 100,413 : x
2. Step 2: Convert to fraction form
   47,554/100,413 = 100,413/x
3. Step 3: Cross multiply
   47,554x = 100,413 × 100,413
4. Step 4: Simplify right side
   47,554x = 10,082,770,569
5. Step 5: Solve for x
   x = 10,082,770,569/47,554
6. Step 6: Final answer
   x = 212,027.81