Finding the Third Proportional to 116,738 and 175,971

Step by Step Solution

1. Step 1: Write the proportion equation
   116,738 : 175,971 = 175,971 : x
2. Step 2: Convert to fraction form
   116,738/175,971 = 175,971/x
3. Step 3: Cross multiply
   116,738x = 175,971 × 175,971
4. Step 4: Simplify right side
   116,738x = 30,965,792,841
5. Step 5: Solve for x
   x = 30,965,792,841/116,738
6. Step 6: Final answer
   x = 265,258.89