Finding the Third Proportional to 140,978 and 309,994

Step by Step Solution

1. Step 1: Write the proportion equation
   140,978 : 309,994 = 309,994 : x
2. Step 2: Convert to fraction form
   140,978/309,994 = 309,994/x
3. Step 3: Cross multiply
   140,978x = 309,994 × 309,994
4. Step 4: Simplify right side
   140,978x = 96,096,280,036
5. Step 5: Solve for x
   x = 96,096,280,036/140,978
6. Step 6: Final answer
   x = 681,640.26