Finding the Third Proportional to 50,778 and 75,942

Step by Step Solution

1. Step 1: Write the proportion equation
   50,778 : 75,942 = 75,942 : x
2. Step 2: Convert to fraction form
   50,778/75,942 = 75,942/x
3. Step 3: Cross multiply
   50,778x = 75,942 × 75,942
4. Step 4: Simplify right side
   50,778x = 5,767,187,364
5. Step 5: Solve for x
   x = 5,767,187,364/50,778
6. Step 6: Final answer
   x = 113,576.50