Finding the Third Proportional to 140,096 and 307,408

Step by Step Solution

1. Step 1: Write the proportion equation
   140,096 : 307,408 = 307,408 : x
2. Step 2: Convert to fraction form
   140,096/307,408 = 307,408/x
3. Step 3: Cross multiply
   140,096x = 307,408 × 307,408
4. Step 4: Simplify right side
   140,096x = 94,499,678,464
5. Step 5: Solve for x
   x = 94,499,678,464/140,096
6. Step 6: Final answer
   x = 674,535.16