Finding the Third Proportional to 193,908.50 and 405,384

Step by Step Solution

1. Step 1: Write the proportion equation
   193,908.50 : 405,384 = 405,384 : x
2. Step 2: Convert to fraction form
   193,908.50/405,384 = 405,384/x
3. Step 3: Cross multiply
   193,908.50x = 405,384 × 405,384
4. Step 4: Simplify right side
   193,908.50x = 164,336,187,456
5. Step 5: Solve for x
   x = 164,336,187,456/193,908.50
6. Step 6: Final answer
   x = 847,493.47