Finding the Third Proportional to 50,716 and 78,838

Step by Step Solution

1. Step 1: Write the proportion equation
   50,716 : 78,838 = 78,838 : x
2. Step 2: Convert to fraction form
   50,716/78,838 = 78,838/x
3. Step 3: Cross multiply
   50,716x = 78,838 × 78,838
4. Step 4: Simplify right side
   50,716x = 6,215,430,244
5. Step 5: Solve for x
   x = 6,215,430,244/50,716
6. Step 6: Final answer
   x = 122,553.64