Finding the Third Proportional to 50,434 and 78,087

Step by Step Solution

1. Step 1: Write the proportion equation
   50,434 : 78,087 = 78,087 : x
2. Step 2: Convert to fraction form
   50,434/78,087 = 78,087/x
3. Step 3: Cross multiply
   50,434x = 78,087 × 78,087
4. Step 4: Simplify right side
   50,434x = 6,097,579,569
5. Step 5: Solve for x
   x = 6,097,579,569/50,434
6. Step 6: Final answer
   x = 120,902.16