Finding the Third Proportional to 47,746 and 100,721

Step by Step Solution

1. Step 1: Write the proportion equation
   47,746 : 100,721 = 100,721 : x
2. Step 2: Convert to fraction form
   47,746/100,721 = 100,721/x
3. Step 3: Cross multiply
   47,746x = 100,721 × 100,721
4. Step 4: Simplify right side
   47,746x = 10,144,719,841
5. Step 5: Solve for x
   x = 10,144,719,841/47,746
6. Step 6: Final answer
   x = 212,472.66