Finding the Third Proportional to 50,597 and 74,256

Step by Step Solution

1. Step 1: Write the proportion equation
   50,597 : 74,256 = 74,256 : x
2. Step 2: Convert to fraction form
   50,597/74,256 = 74,256/x
3. Step 3: Cross multiply
   50,597x = 74,256 × 74,256
4. Step 4: Simplify right side
   50,597x = 5,513,953,536
5. Step 5: Solve for x
   x = 5,513,953,536/50,597
6. Step 6: Final answer
   x = 108,977.87