Finding the Third Proportional to 194,138.25 and 397,686

Step by Step Solution

1. Step 1: Write the proportion equation
   194,138.25 : 397,686 = 397,686 : x
2. Step 2: Convert to fraction form
   194,138.25/397,686 = 397,686/x
3. Step 3: Cross multiply
   194,138.25x = 397,686 × 397,686
4. Step 4: Simplify right side
   194,138.25x = 158,154,154,596
5. Step 5: Solve for x
   x = 158,154,154,596/194,138.25
6. Step 6: Final answer
   x = 814,647.06