Finding the Third Proportional to 159,644 and 213,025

Step by Step Solution

1. Step 1: Write the proportion equation
   159,644 : 213,025 = 213,025 : x
2. Step 2: Convert to fraction form
   159,644/213,025 = 213,025/x
3. Step 3: Cross multiply
   159,644x = 213,025 × 213,025
4. Step 4: Simplify right side
   159,644x = 45,379,650,625
5. Step 5: Solve for x
   x = 45,379,650,625/159,644
6. Step 6: Final answer
   x = 284,255.28