Finding the Third Proportional to 50,646 and 78,624

Step by Step Solution

1. Step 1: Write the proportion equation
   50,646 : 78,624 = 78,624 : x
2. Step 2: Convert to fraction form
   50,646/78,624 = 78,624/x
3. Step 3: Cross multiply
   50,646x = 78,624 × 78,624
4. Step 4: Simplify right side
   50,646x = 6,181,733,376
5. Step 5: Solve for x
   x = 6,181,733,376/50,646
6. Step 6: Final answer
   x = 122,057.68