Finding the Third Proportional to 123,085 and 175,999

Step by Step Solution

1. Step 1: Write the proportion equation
   123,085 : 175,999 = 175,999 : x
2. Step 2: Convert to fraction form
   123,085/175,999 = 175,999/x
3. Step 3: Cross multiply
   123,085x = 175,999 × 175,999
4. Step 4: Simplify right side
   123,085x = 30,975,648,001
5. Step 5: Solve for x
   x = 30,975,648,001/123,085
6. Step 6: Final answer
   x = 251,660.62