Finding the Third Proportional to 89,533 and 191,357

Step by Step Solution

1. Step 1: Write the proportion equation
   89,533 : 191,357 = 191,357 : x
2. Step 2: Convert to fraction form
   89,533/191,357 = 191,357/x
3. Step 3: Cross multiply
   89,533x = 191,357 × 191,357
4. Step 4: Simplify right side
   89,533x = 36,617,501,449
5. Step 5: Solve for x
   x = 36,617,501,449/89,533
6. Step 6: Final answer
   x = 408,983.30