Finding the Third Proportional to 193,922 and 284,499

Step by Step Solution

1. Step 1: Write the proportion equation
   193,922 : 284,499 = 284,499 : x
2. Step 2: Convert to fraction form
   193,922/284,499 = 284,499/x
3. Step 3: Cross multiply
   193,922x = 284,499 × 284,499
4. Step 4: Simplify right side
   193,922x = 80,939,681,001
5. Step 5: Solve for x
   x = 80,939,681,001/193,922
6. Step 6: Final answer
   x = 417,382.66