Finding the Third Proportional to 208,182 and 405,996

Step by Step Solution

1. Step 1: Write the proportion equation
   208,182 : 405,996 = 405,996 : x
2. Step 2: Convert to fraction form
   208,182/405,996 = 405,996/x
3. Step 3: Cross multiply
   208,182x = 405,996 × 405,996
4. Step 4: Simplify right side
   208,182x = 164,832,752,016
5. Step 5: Solve for x
   x = 164,832,752,016/208,182
6. Step 6: Final answer
   x = 791,772.35