Finding the Third Proportional to 190,789.50 and 414,357

Step by Step Solution

1. Step 1: Write the proportion equation
   190,789.50 : 414,357 = 414,357 : x
2. Step 2: Convert to fraction form
   190,789.50/414,357 = 414,357/x
3. Step 3: Cross multiply
   190,789.50x = 414,357 × 414,357
4. Step 4: Simplify right side
   190,789.50x = 171,691,723,449
5. Step 5: Solve for x
   x = 171,691,723,449/190,789.50
6. Step 6: Final answer
   x = 899,901.32