Finding the Third Proportional to 89,900 and 196,408

Step by Step Solution

1. Step 1: Write the proportion equation
   89,900 : 196,408 = 196,408 : x
2. Step 2: Convert to fraction form
   89,900/196,408 = 196,408/x
3. Step 3: Cross multiply
   89,900x = 196,408 × 196,408
4. Step 4: Simplify right side
   89,900x = 38,576,102,464
5. Step 5: Solve for x
   x = 38,576,102,464/89,900
6. Step 6: Final answer
   x = 429,100.14