Finding the Third Proportional to 102,424.50 and 213,024

Step by Step Solution

1. Step 1: Write the proportion equation
   102,424.50 : 213,024 = 213,024 : x
2. Step 2: Convert to fraction form
   102,424.50/213,024 = 213,024/x
3. Step 3: Cross multiply
   102,424.50x = 213,024 × 213,024
4. Step 4: Simplify right side
   102,424.50x = 45,379,224,576
5. Step 5: Solve for x
   x = 45,379,224,576/102,424.50
6. Step 6: Final answer
   x = 443,050.49