Finding the Third Proportional to 190,789 and 414,355

Step by Step Solution

1. Step 1: Write the proportion equation
   190,789 : 414,355 = 414,355 : x
2. Step 2: Convert to fraction form
   190,789/414,355 = 414,355/x
3. Step 3: Cross multiply
   190,789x = 414,355 × 414,355
4. Step 4: Simplify right side
   190,789x = 171,690,066,025
5. Step 5: Solve for x
   x = 171,690,066,025/190,789
6. Step 6: Final answer
   x = 899,894.99