Finding the Third Proportional to 193,903.50 and 405,375

Step by Step Solution

1. Step 1: Write the proportion equation
   193,903.50 : 405,375 = 405,375 : x
2. Step 2: Convert to fraction form
   193,903.50/405,375 = 405,375/x
3. Step 3: Cross multiply
   193,903.50x = 405,375 × 405,375
4. Step 4: Simplify right side
   193,903.50x = 164,328,890,625
5. Step 5: Solve for x
   x = 164,328,890,625/193,903.50
6. Step 6: Final answer
   x = 847,477.69