Finding the Third Proportional to 186,926 and 410,040

Step by Step Solution

1. Step 1: Write the proportion equation
   186,926 : 410,040 = 410,040 : x
2. Step 2: Convert to fraction form
   186,926/410,040 = 410,040/x
3. Step 3: Cross multiply
   186,926x = 410,040 × 410,040
4. Step 4: Simplify right side
   186,926x = 168,132,801,600
5. Step 5: Solve for x
   x = 168,132,801,600/186,926
6. Step 6: Final answer
   x = 899,461.83