Finding the Third Proportional to 165,574.50 and 262,293

Step by Step Solution

1. Step 1: Write the proportion equation
   165,574.50 : 262,293 = 262,293 : x
2. Step 2: Convert to fraction form
   165,574.50/262,293 = 262,293/x
3. Step 3: Cross multiply
   165,574.50x = 262,293 × 262,293
4. Step 4: Simplify right side
   165,574.50x = 68,797,617,849
5. Step 5: Solve for x
   x = 68,797,617,849/165,574.50
6. Step 6: Final answer
   x = 415,508.53