Finding the Third Proportional to 49,778 and 77,075

Step by Step Solution

1. Step 1: Write the proportion equation
   49,778 : 77,075 = 77,075 : x
2. Step 2: Convert to fraction form
   49,778/77,075 = 77,075/x
3. Step 3: Cross multiply
   49,778x = 77,075 × 77,075
4. Step 4: Simplify right side
   49,778x = 5,940,555,625
5. Step 5: Solve for x
   x = 5,940,555,625/49,778
6. Step 6: Final answer
   x = 119,340.99