Finding the Third Proportional to 116,504 and 174,574

Step by Step Solution

1. Step 1: Write the proportion equation
   116,504 : 174,574 = 174,574 : x
2. Step 2: Convert to fraction form
   116,504/174,574 = 174,574/x
3. Step 3: Cross multiply
   116,504x = 174,574 × 174,574
4. Step 4: Simplify right side
   116,504x = 30,476,081,476
5. Step 5: Solve for x
   x = 30,476,081,476/116,504
6. Step 6: Final answer
   x = 261,588.28