Finding the Third Proportional to 188,560 and 413,404

Step by Step Solution

1. Step 1: Write the proportion equation
   188,560 : 413,404 = 413,404 : x
2. Step 2: Convert to fraction form
   188,560/413,404 = 413,404/x
3. Step 3: Cross multiply
   188,560x = 413,404 × 413,404
4. Step 4: Simplify right side
   188,560x = 170,902,867,216
5. Step 5: Solve for x
   x = 170,902,867,216/188,560
6. Step 6: Final answer
   x = 906,358.01