Finding the Third Proportional to 193,822.50 and 284,355

Step by Step Solution

1. Step 1: Write the proportion equation
   193,822.50 : 284,355 = 284,355 : x
2. Step 2: Convert to fraction form
   193,822.50/284,355 = 284,355/x
3. Step 3: Cross multiply
   193,822.50x = 284,355 × 284,355
4. Step 4: Simplify right side
   193,822.50x = 80,857,766,025
5. Step 5: Solve for x
   x = 80,857,766,025/193,822.50
6. Step 6: Final answer
   x = 417,174.30