Finding the Third Proportional to 193,665 and 419,499

Step by Step Solution

1. Step 1: Write the proportion equation
   193,665 : 419,499 = 419,499 : x
2. Step 2: Convert to fraction form
   193,665/419,499 = 419,499/x
3. Step 3: Cross multiply
   193,665x = 419,499 × 419,499
4. Step 4: Simplify right side
   193,665x = 175,979,411,001
5. Step 5: Solve for x
   x = 175,979,411,001/193,665
6. Step 6: Final answer
   x = 908,679.48