Finding the Third Proportional to 49,846 and 74,824

Step by Step Solution

1. Step 1: Write the proportion equation
   49,846 : 74,824 = 74,824 : x
2. Step 2: Convert to fraction form
   49,846/74,824 = 74,824/x
3. Step 3: Cross multiply
   49,846x = 74,824 × 74,824
4. Step 4: Simplify right side
   49,846x = 5,598,630,976
5. Step 5: Solve for x
   x = 5,598,630,976/49,846
6. Step 6: Final answer
   x = 112,318.56