Finding the Third Proportional to 50,205.38 and 77,781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   50,205.38 : 77,781.38 = 77,781.38 : x
2. Step 2: Convert to fraction form
   50,205.38/77,781.38 = 77,781.38/x
3. Step 3: Cross multiply
   50,205.38x = 77,781.38 × 77,781.38
4. Step 4: Simplify right side
   50,205.38x = 6,049,942,296.89
5. Step 5: Solve for x
   x = 6,049,942,296.89/50,205.38
6. Step 6: Final answer
   x = 120,503.88