Finding the Third Proportional to 191,496 and 416,678

Step by Step Solution

1. Step 1: Write the proportion equation
   191,496 : 416,678 = 416,678 : x
2. Step 2: Convert to fraction form
   191,496/416,678 = 416,678/x
3. Step 3: Cross multiply
   191,496x = 416,678 × 416,678
4. Step 4: Simplify right side
   191,496x = 173,620,555,684
5. Step 5: Solve for x
   x = 173,620,555,684/191,496
6. Step 6: Final answer
   x = 906,653.69