Finding the Third Proportional to 140,997 and 309,903

Step by Step Solution

1. Step 1: Write the proportion equation
   140,997 : 309,903 = 309,903 : x
2. Step 2: Convert to fraction form
   140,997/309,903 = 309,903/x
3. Step 3: Cross multiply
   140,997x = 309,903 × 309,903
4. Step 4: Simplify right side
   140,997x = 96,039,869,409
5. Step 5: Solve for x
   x = 96,039,869,409/140,997
6. Step 6: Final answer
   x = 681,148.32