Finding the Third Proportional to 49,096 and 76,804

Step by Step Solution

1. Step 1: Write the proportion equation
   49,096 : 76,804 = 76,804 : x
2. Step 2: Convert to fraction form
   49,096/76,804 = 76,804/x
3. Step 3: Cross multiply
   49,096x = 76,804 × 76,804
4. Step 4: Simplify right side
   49,096x = 5,898,854,416
5. Step 5: Solve for x
   x = 5,898,854,416/49,096
6. Step 6: Final answer
   x = 120,149.39