Finding the Third Proportional to 111,474 and 174,609

Step by Step Solution

1. Step 1: Write the proportion equation
   111,474 : 174,609 = 174,609 : x
2. Step 2: Convert to fraction form
   111,474/174,609 = 174,609/x
3. Step 3: Cross multiply
   111,474x = 174,609 × 174,609
4. Step 4: Simplify right side
   111,474x = 30,488,302,881
5. Step 5: Solve for x
   x = 30,488,302,881/111,474
6. Step 6: Final answer
   x = 273,501.47