Finding the Third Proportional to 111,180 and 262,292

Step by Step Solution

1. Step 1: Write the proportion equation
   111,180 : 262,292 = 262,292 : x
2. Step 2: Convert to fraction form
   111,180/262,292 = 262,292/x
3. Step 3: Cross multiply
   111,180x = 262,292 × 262,292
4. Step 4: Simplify right side
   111,180x = 68,797,093,264
5. Step 5: Solve for x
   x = 68,797,093,264/111,180
6. Step 6: Final answer
   x = 618,790.19