Finding the Third Proportional to 201,784.50 and 424,467

Step by Step Solution

1. Step 1: Write the proportion equation
   201,784.50 : 424,467 = 424,467 : x
2. Step 2: Convert to fraction form
   201,784.50/424,467 = 424,467/x
3. Step 3: Cross multiply
   201,784.50x = 424,467 × 424,467
4. Step 4: Simplify right side
   201,784.50x = 180,172,234,089
5. Step 5: Solve for x
   x = 180,172,234,089/201,784.50
6. Step 6: Final answer
   x = 892,894.32