Finding the Third Proportional to 89,134 and 194,864

Step by Step Solution

1. Step 1: Write the proportion equation
   89,134 : 194,864 = 194,864 : x
2. Step 2: Convert to fraction form
   89,134/194,864 = 194,864/x
3. Step 3: Cross multiply
   89,134x = 194,864 × 194,864
4. Step 4: Simplify right side
   89,134x = 37,971,978,496
5. Step 5: Solve for x
   x = 37,971,978,496/89,134
6. Step 6: Final answer
   x = 426,010.04