Finding the Third Proportional to 115,689 and 174,990

Step by Step Solution

1. Step 1: Write the proportion equation
   115,689 : 174,990 = 174,990 : x
2. Step 2: Convert to fraction form
   115,689/174,990 = 174,990/x
3. Step 3: Cross multiply
   115,689x = 174,990 × 174,990
4. Step 4: Simplify right side
   115,689x = 30,621,500,100
5. Step 5: Solve for x
   x = 30,621,500,100/115,689
6. Step 6: Final answer
   x = 264,688.09