Finding the Third Proportional to 50,589 and 78,165

Step by Step Solution

1. Step 1: Write the proportion equation
   50,589 : 78,165 = 78,165 : x
2. Step 2: Convert to fraction form
   50,589/78,165 = 78,165/x
3. Step 3: Cross multiply
   50,589x = 78,165 × 78,165
4. Step 4: Simplify right side
   50,589x = 6,109,767,225
5. Step 5: Solve for x
   x = 6,109,767,225/50,589
6. Step 6: Final answer
   x = 120,772.64