Finding the Third Proportional to 76,074 and 111,957

Step by Step Solution

1. Step 1: Write the proportion equation
   76,074 : 111,957 = 111,957 : x
2. Step 2: Convert to fraction form
   76,074/111,957 = 111,957/x
3. Step 3: Cross multiply
   76,074x = 111,957 × 111,957
4. Step 4: Simplify right side
   76,074x = 12,534,369,849
5. Step 5: Solve for x
   x = 12,534,369,849/76,074
6. Step 6: Final answer
   x = 164,765.49