Finding the Third Proportional to 395,888 and 830,648

Step by Step Solution

1. Step 1: Write the proportion equation
   395,888 : 830,648 = 830,648 : x
2. Step 2: Convert to fraction form
   395,888/830,648 = 830,648/x
3. Step 3: Cross multiply
   395,888x = 830,648 × 830,648
4. Step 4: Simplify right side
   395,888x = 689,976,099,904
5. Step 5: Solve for x
   x = 689,976,099,904/395,888
6. Step 6: Final answer
   x = 1,742,856.82