Finding the Third Proportional to 50,696 and 78,024

Step by Step Solution

1. Step 1: Write the proportion equation
   50,696 : 78,024 = 78,024 : x
2. Step 2: Convert to fraction form
   50,696/78,024 = 78,024/x
3. Step 3: Cross multiply
   50,696x = 78,024 × 78,024
4. Step 4: Simplify right side
   50,696x = 6,087,744,576
5. Step 5: Solve for x
   x = 6,087,744,576/50,696
6. Step 6: Final answer
   x = 120,083.33