Finding the Third Proportional to 191,456 and 405,952

Step by Step Solution

1. Step 1: Write the proportion equation
   191,456 : 405,952 = 405,952 : x
2. Step 2: Convert to fraction form
   191,456/405,952 = 405,952/x
3. Step 3: Cross multiply
   191,456x = 405,952 × 405,952
4. Step 4: Simplify right side
   191,456x = 164,797,026,304
5. Step 5: Solve for x
   x = 164,797,026,304/191,456
6. Step 6: Final answer
   x = 860,756.66