Finding the Third Proportional to 49,146 and 76,878

Step by Step Solution

1. Step 1: Write the proportion equation
   49,146 : 76,878 = 76,878 : x
2. Step 2: Convert to fraction form
   49,146/76,878 = 76,878/x
3. Step 3: Cross multiply
   49,146x = 76,878 × 76,878
4. Step 4: Simplify right side
   49,146x = 5,910,226,884
5. Step 5: Solve for x
   x = 5,910,226,884/49,146
6. Step 6: Final answer
   x = 120,258.55