Finding the Third Proportional to 191,016 and 416,268

Step by Step Solution

1. Step 1: Write the proportion equation
   191,016 : 416,268 = 416,268 : x
2. Step 2: Convert to fraction form
   191,016/416,268 = 416,268/x
3. Step 3: Cross multiply
   191,016x = 416,268 × 416,268
4. Step 4: Simplify right side
   191,016x = 173,279,047,824
5. Step 5: Solve for x
   x = 173,279,047,824/191,016
6. Step 6: Final answer
   x = 907,144.15