Finding the Third Proportional to 50,684 and 78,672

Step by Step Solution

1. Step 1: Write the proportion equation
   50,684 : 78,672 = 78,672 : x
2. Step 2: Convert to fraction form
   50,684/78,672 = 78,672/x
3. Step 3: Cross multiply
   50,684x = 78,672 × 78,672
4. Step 4: Simplify right side
   50,684x = 6,189,283,584
5. Step 5: Solve for x
   x = 6,189,283,584/50,684
6. Step 6: Final answer
   x = 122,115.14