Finding the Third Proportional to 67,876 and 140,408

Step by Step Solution

1. Step 1: Write the proportion equation
   67,876 : 140,408 = 140,408 : x
2. Step 2: Convert to fraction form
   67,876/140,408 = 140,408/x
3. Step 3: Cross multiply
   67,876x = 140,408 × 140,408
4. Step 4: Simplify right side
   67,876x = 19,714,406,464
5. Step 5: Solve for x
   x = 19,714,406,464/67,876
6. Step 6: Final answer
   x = 290,447.38