Finding the Third Proportional to 47,078 and 103,484

Step by Step Solution

1. Step 1: Write the proportion equation
   47,078 : 103,484 = 103,484 : x
2. Step 2: Convert to fraction form
   47,078/103,484 = 103,484/x
3. Step 3: Cross multiply
   47,078x = 103,484 × 103,484
4. Step 4: Simplify right side
   47,078x = 10,708,938,256
5. Step 5: Solve for x
   x = 10,708,938,256/47,078
6. Step 6: Final answer
   x = 227,472.24