Finding the Third Proportional to 191,649 and 416,856

Step by Step Solution

1. Step 1: Write the proportion equation
   191,649 : 416,856 = 416,856 : x
2. Step 2: Convert to fraction form
   191,649/416,856 = 416,856/x
3. Step 3: Cross multiply
   191,649x = 416,856 × 416,856
4. Step 4: Simplify right side
   191,649x = 173,768,924,736
5. Step 5: Solve for x
   x = 173,768,924,736/191,649
6. Step 6: Final answer
   x = 906,704.05