Finding the Third Proportional to 201,793 and 424,499

Step by Step Solution

1. Step 1: Write the proportion equation
   201,793 : 424,499 = 424,499 : x
2. Step 2: Convert to fraction form
   201,793/424,499 = 424,499/x
3. Step 3: Cross multiply
   201,793x = 424,499 × 424,499
4. Step 4: Simplify right side
   201,793x = 180,199,401,001
5. Step 5: Solve for x
   x = 180,199,401,001/201,793
6. Step 6: Final answer
   x = 892,991.34