Finding the Third Proportional to 71,757 and 111,996

Step by Step Solution

1. Step 1: Write the proportion equation
   71,757 : 111,996 = 111,996 : x
2. Step 2: Convert to fraction form
   71,757/111,996 = 111,996/x
3. Step 3: Cross multiply
   71,757x = 111,996 × 111,996
4. Step 4: Simplify right side
   71,757x = 12,543,104,016
5. Step 5: Solve for x
   x = 12,543,104,016/71,757
6. Step 6: Final answer
   x = 174,799.73