Finding the Third Proportional to 49,128 and 76,852

Step by Step Solution

1. Step 1: Write the proportion equation
   49,128 : 76,852 = 76,852 : x
2. Step 2: Convert to fraction form
   49,128/76,852 = 76,852/x
3. Step 3: Cross multiply
   49,128x = 76,852 × 76,852
4. Step 4: Simplify right side
   49,128x = 5,906,229,904
5. Step 5: Solve for x
   x = 5,906,229,904/49,128
6. Step 6: Final answer
   x = 120,221.26