Finding the Third Proportional to 49,797 and 77,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,797 : 77,105.25 = 77,105.25 : x
2. Step 2: Convert to fraction form
   49,797/77,105.25 = 77,105.25/x
3. Step 3: Cross multiply
   49,797x = 77,105.25 × 77,105.25
4. Step 4: Simplify right side
   49,797x = 5,945,219,577.56
5. Step 5: Solve for x
   x = 5,945,219,577.56/49,797
6. Step 6: Final answer
   x = 119,389.11