Finding the Third Proportional to 90,408 and 196,672

Step by Step Solution

1. Step 1: Write the proportion equation
   90,408 : 196,672 = 196,672 : x
2. Step 2: Convert to fraction form
   90,408/196,672 = 196,672/x
3. Step 3: Cross multiply
   90,408x = 196,672 × 196,672
4. Step 4: Simplify right side
   90,408x = 38,679,875,584
5. Step 5: Solve for x
   x = 38,679,875,584/90,408
6. Step 6: Final answer
   x = 427,836.87