Finding the Third Proportional to 71,759 and 111,999

Step by Step Solution

1. Step 1: Write the proportion equation
   71,759 : 111,999 = 111,999 : x
2. Step 2: Convert to fraction form
   71,759/111,999 = 111,999/x
3. Step 3: Cross multiply
   71,759x = 111,999 × 111,999
4. Step 4: Simplify right side
   71,759x = 12,543,776,001
5. Step 5: Solve for x
   x = 12,543,776,001/71,759
6. Step 6: Final answer
   x = 174,804.22