Finding the Third Proportional to 113,580 and 175,689

Step by Step Solution

1. Step 1: Write the proportion equation
   113,580 : 175,689 = 175,689 : x
2. Step 2: Convert to fraction form
   113,580/175,689 = 175,689/x
3. Step 3: Cross multiply
   113,580x = 175,689 × 175,689
4. Step 4: Simplify right side
   113,580x = 30,866,624,721
5. Step 5: Solve for x
   x = 30,866,624,721/113,580
6. Step 6: Final answer
   x = 271,761.09