Finding the Third Proportional to 50,796 and 76,194

Step by Step Solution

1. Step 1: Write the proportion equation
   50,796 : 76,194 = 76,194 : x
2. Step 2: Convert to fraction form
   50,796/76,194 = 76,194/x
3. Step 3: Cross multiply
   50,796x = 76,194 × 76,194
4. Step 4: Simplify right side
   50,796x = 5,805,525,636
5. Step 5: Solve for x
   x = 5,805,525,636/50,796
6. Step 6: Final answer
   x = 114,291