Finding the Third Proportional to 50,957 and 77,205

Step by Step Solution

1. Step 1: Write the proportion equation
   50,957 : 77,205 = 77,205 : x
2. Step 2: Convert to fraction form
   50,957/77,205 = 77,205/x
3. Step 3: Cross multiply
   50,957x = 77,205 × 77,205
4. Step 4: Simplify right side
   50,957x = 5,960,612,025
5. Step 5: Solve for x
   x = 5,960,612,025/50,957
6. Step 6: Final answer
   x = 116,973.37