Finding the Third Proportional to 47,772 and 103,851

Step by Step Solution

1. Step 1: Write the proportion equation
   47,772 : 103,851 = 103,851 : x
2. Step 2: Convert to fraction form
   47,772/103,851 = 103,851/x
3. Step 3: Cross multiply
   47,772x = 103,851 × 103,851
4. Step 4: Simplify right side
   47,772x = 10,785,030,201
5. Step 5: Solve for x
   x = 10,785,030,201/47,772
6. Step 6: Final answer
   x = 225,760.49