Finding the Third Proportional to 50,854.50 and 78,678

Step by Step Solution

1. Step 1: Write the proportion equation
   50,854.50 : 78,678 = 78,678 : x
2. Step 2: Convert to fraction form
   50,854.50/78,678 = 78,678/x
3. Step 3: Cross multiply
   50,854.50x = 78,678 × 78,678
4. Step 4: Simplify right side
   50,854.50x = 6,190,227,684
5. Step 5: Solve for x
   x = 6,190,227,684/50,854.50
6. Step 6: Final answer
   x = 121,724.29