Finding the Third Proportional to 49,605.75 and 117,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,605.75 : 117,077.25 = 117,077.25 : x
2. Step 2: Convert to fraction form
   49,605.75/117,077.25 = 117,077.25/x
3. Step 3: Cross multiply
   49,605.75x = 117,077.25 × 117,077.25
4. Step 4: Simplify right side
   49,605.75x = 13,707,082,467.56
5. Step 5: Solve for x
   x = 13,707,082,467.56/49,605.75
6. Step 6: Final answer
   x = 276,320.44