Finding the Third Proportional to 171,786 and 267,494

Step by Step Solution

1. Step 1: Write the proportion equation
   171,786 : 267,494 = 267,494 : x
2. Step 2: Convert to fraction form
   171,786/267,494 = 267,494/x
3. Step 3: Cross multiply
   171,786x = 267,494 × 267,494
4. Step 4: Simplify right side
   171,786x = 71,553,040,036
5. Step 5: Solve for x
   x = 71,553,040,036/171,786
6. Step 6: Final answer
   x = 416,524.28