Finding the Third Proportional to 49,760 and 78,790

Step by Step Solution

1. Step 1: Write the proportion equation
   49,760 : 78,790 = 78,790 : x
2. Step 2: Convert to fraction form
   49,760/78,790 = 78,790/x
3. Step 3: Cross multiply
   49,760x = 78,790 × 78,790
4. Step 4: Simplify right side
   49,760x = 6,207,864,100
5. Step 5: Solve for x
   x = 6,207,864,100/49,760
6. Step 6: Final answer
   x = 124,756.11