Finding the Third Proportional to 89,408 and 194,848

Step by Step Solution

1. Step 1: Write the proportion equation
   89,408 : 194,848 = 194,848 : x
2. Step 2: Convert to fraction form
   89,408/194,848 = 194,848/x
3. Step 3: Cross multiply
   89,408x = 194,848 × 194,848
4. Step 4: Simplify right side
   89,408x = 37,965,743,104
5. Step 5: Solve for x
   x = 37,965,743,104/89,408
6. Step 6: Final answer
   x = 424,634.74