Finding the Third Proportional to 89,910 and 193,644

Step by Step Solution

1. Step 1: Write the proportion equation
   89,910 : 193,644 = 193,644 : x
2. Step 2: Convert to fraction form
   89,910/193,644 = 193,644/x
3. Step 3: Cross multiply
   89,910x = 193,644 × 193,644
4. Step 4: Simplify right side
   89,910x = 37,497,998,736
5. Step 5: Solve for x
   x = 37,497,998,736/89,910
6. Step 6: Final answer
   x = 417,061.49