Finding the Third Proportional to 194,791.50 and 405,171

Step by Step Solution

1. Step 1: Write the proportion equation
   194,791.50 : 405,171 = 405,171 : x
2. Step 2: Convert to fraction form
   194,791.50/405,171 = 405,171/x
3. Step 3: Cross multiply
   194,791.50x = 405,171 × 405,171
4. Step 4: Simplify right side
   194,791.50x = 164,163,539,241
5. Step 5: Solve for x
   x = 164,163,539,241/194,791.50
6. Step 6: Final answer
   x = 842,765.41