Finding the Third Proportional to 50,936 and 76,498

Step by Step Solution

1. Step 1: Write the proportion equation
   50,936 : 76,498 = 76,498 : x
2. Step 2: Convert to fraction form
   50,936/76,498 = 76,498/x
3. Step 3: Cross multiply
   50,936x = 76,498 × 76,498
4. Step 4: Simplify right side
   50,936x = 5,851,944,004
5. Step 5: Solve for x
   x = 5,851,944,004/50,936
6. Step 6: Final answer
   x = 114,888.17