Finding the Third Proportional to 187,766 and 405,040

Step by Step Solution

1. Step 1: Write the proportion equation
   187,766 : 405,040 = 405,040 : x
2. Step 2: Convert to fraction form
   187,766/405,040 = 405,040/x
3. Step 3: Cross multiply
   187,766x = 405,040 × 405,040
4. Step 4: Simplify right side
   187,766x = 164,057,401,600
5. Step 5: Solve for x
   x = 164,057,401,600/187,766
6. Step 6: Final answer
   x = 873,733.27