Finding the Third Proportional to 50,517 and 78,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,517 : 78,169.50 = 78,169.50 : x
2. Step 2: Convert to fraction form
   50,517/78,169.50 = 78,169.50/x
3. Step 3: Cross multiply
   50,517x = 78,169.50 × 78,169.50
4. Step 4: Simplify right side
   50,517x = 6,110,470,730.25
5. Step 5: Solve for x
   x = 6,110,470,730.25/50,517
6. Step 6: Final answer
   x = 120,958.70