Finding the Third Proportional to 408,086 and 573,658

Step by Step Solution

1. Step 1: Write the proportion equation
   408,086 : 573,658 = 573,658 : x
2. Step 2: Convert to fraction form
   408,086/573,658 = 573,658/x
3. Step 3: Cross multiply
   408,086x = 573,658 × 573,658
4. Step 4: Simplify right side
   408,086x = 329,083,500,964
5. Step 5: Solve for x
   x = 329,083,500,964/408,086
6. Step 6: Final answer
   x = 806,407.23