Finding the Third Proportional to 50,736 and 78,866

Step by Step Solution

1. Step 1: Write the proportion equation
   50,736 : 78,866 = 78,866 : x
2. Step 2: Convert to fraction form
   50,736/78,866 = 78,866/x
3. Step 3: Cross multiply
   50,736x = 78,866 × 78,866
4. Step 4: Simplify right side
   50,736x = 6,219,845,956
5. Step 5: Solve for x
   x = 6,219,845,956/50,736
6. Step 6: Final answer
   x = 122,592.36