Finding the Third Proportional to 50,265 and 76,577

Step by Step Solution

1. Step 1: Write the proportion equation
   50,265 : 76,577 = 76,577 : x
2. Step 2: Convert to fraction form
   50,265/76,577 = 76,577/x
3. Step 3: Cross multiply
   50,265x = 76,577 × 76,577
4. Step 4: Simplify right side
   50,265x = 5,864,036,929
5. Step 5: Solve for x
   x = 5,864,036,929/50,265
6. Step 6: Final answer
   x = 116,662.43