Finding the Third Proportional to 190,719 and 414,648

Step by Step Solution

1. Step 1: Write the proportion equation
   190,719 : 414,648 = 414,648 : x
2. Step 2: Convert to fraction form
   190,719/414,648 = 414,648/x
3. Step 3: Cross multiply
   190,719x = 414,648 × 414,648
4. Step 4: Simplify right side
   190,719x = 171,932,963,904
5. Step 5: Solve for x
   x = 171,932,963,904/190,719
6. Step 6: Final answer
   x = 901,498.87