Finding the Third Proportional to 49,760 and 77,044

Step by Step Solution

1. Step 1: Write the proportion equation
   49,760 : 77,044 = 77,044 : x
2. Step 2: Convert to fraction form
   49,760/77,044 = 77,044/x
3. Step 3: Cross multiply
   49,760x = 77,044 × 77,044
4. Step 4: Simplify right side
   49,760x = 5,935,777,936
5. Step 5: Solve for x
   x = 5,935,777,936/49,760
6. Step 6: Final answer
   x = 119,288.14