Finding the Third Proportional to 49,778 and 77,077

Step by Step Solution

1. Step 1: Write the proportion equation
   49,778 : 77,077 = 77,077 : x
2. Step 2: Convert to fraction form
   49,778/77,077 = 77,077/x
3. Step 3: Cross multiply
   49,778x = 77,077 × 77,077
4. Step 4: Simplify right side
   49,778x = 5,940,863,929
5. Step 5: Solve for x
   x = 5,940,863,929/49,778
6. Step 6: Final answer
   x = 119,347.18