Finding the Third Proportional to 201,794 and 424,500

Step by Step Solution

1. Step 1: Write the proportion equation
   201,794 : 424,500 = 424,500 : x
2. Step 2: Convert to fraction form
   201,794/424,500 = 424,500/x
3. Step 3: Cross multiply
   201,794x = 424,500 × 424,500
4. Step 4: Simplify right side
   201,794x = 180,200,250,000
5. Step 5: Solve for x
   x = 180,200,250,000/201,794
6. Step 6: Final answer
   x = 892,991.12