Finding the Third Proportional to 90,646 and 194,408

Step by Step Solution

1. Step 1: Write the proportion equation
   90,646 : 194,408 = 194,408 : x
2. Step 2: Convert to fraction form
   90,646/194,408 = 194,408/x
3. Step 3: Cross multiply
   90,646x = 194,408 × 194,408
4. Step 4: Simplify right side
   90,646x = 37,794,470,464
5. Step 5: Solve for x
   x = 37,794,470,464/90,646
6. Step 6: Final answer
   x = 416,945.82