Finding the Third Proportional to 185,870 and 395,716

Step by Step Solution

1. Step 1: Write the proportion equation
   185,870 : 395,716 = 395,716 : x
2. Step 2: Convert to fraction form
   185,870/395,716 = 395,716/x
3. Step 3: Cross multiply
   185,870x = 395,716 × 395,716
4. Step 4: Simplify right side
   185,870x = 156,591,152,656
5. Step 5: Solve for x
   x = 156,591,152,656/185,870
6. Step 6: Final answer
   x = 842,476.75