Finding the Third Proportional to 50,748 and 76,122

Step by Step Solution

1. Step 1: Write the proportion equation
   50,748 : 76,122 = 76,122 : x
2. Step 2: Convert to fraction form
   50,748/76,122 = 76,122/x
3. Step 3: Cross multiply
   50,748x = 76,122 × 76,122
4. Step 4: Simplify right side
   50,748x = 5,794,558,884
5. Step 5: Solve for x
   x = 5,794,558,884/50,748
6. Step 6: Final answer
   x = 114,183