Finding the Third Proportional to 89,138 and 193,636

Step by Step Solution

1. Step 1: Write the proportion equation
   89,138 : 193,636 = 193,636 : x
2. Step 2: Convert to fraction form
   89,138/193,636 = 193,636/x
3. Step 3: Cross multiply
   89,138x = 193,636 × 193,636
4. Step 4: Simplify right side
   89,138x = 37,494,900,496
5. Step 5: Solve for x
   x = 37,494,900,496/89,138
6. Step 6: Final answer
   x = 420,638.79