Finding the Third Proportional to 49,878 and 74,601

Step by Step Solution

1. Step 1: Write the proportion equation
   49,878 : 74,601 = 74,601 : x
2. Step 2: Convert to fraction form
   49,878/74,601 = 74,601/x
3. Step 3: Cross multiply
   49,878x = 74,601 × 74,601
4. Step 4: Simplify right side
   49,878x = 5,565,309,201
5. Step 5: Solve for x
   x = 5,565,309,201/49,878
6. Step 6: Final answer
   x = 111,578.44