Finding the Third Proportional to 49,606 and 117,078

Step by Step Solution

1. Step 1: Write the proportion equation
   49,606 : 117,078 = 117,078 : x
2. Step 2: Convert to fraction form
   49,606/117,078 = 117,078/x
3. Step 3: Cross multiply
   49,606x = 117,078 × 117,078
4. Step 4: Simplify right side
   49,606x = 13,707,258,084
5. Step 5: Solve for x
   x = 13,707,258,084/49,606
6. Step 6: Final answer
   x = 276,322.58