Finding the Third Proportional to 89,928 and 193,707

Step by Step Solution

1. Step 1: Write the proportion equation
   89,928 : 193,707 = 193,707 : x
2. Step 2: Convert to fraction form
   89,928/193,707 = 193,707/x
3. Step 3: Cross multiply
   89,928x = 193,707 × 193,707
4. Step 4: Simplify right side
   89,928x = 37,522,401,849
5. Step 5: Solve for x
   x = 37,522,401,849/89,928
6. Step 6: Final answer
   x = 417,249.38