Finding the Third Proportional to 102,573 and 213,300

Step by Step Solution

1. Step 1: Write the proportion equation
   102,573 : 213,300 = 213,300 : x
2. Step 2: Convert to fraction form
   102,573/213,300 = 213,300/x
3. Step 3: Cross multiply
   102,573x = 213,300 × 213,300
4. Step 4: Simplify right side
   102,573x = 45,496,890,000
5. Step 5: Solve for x
   x = 45,496,890,000/102,573
6. Step 6: Final answer
   x = 443,556.20