Finding the Third Proportional to 102,421.50 and 213,018

Step by Step Solution

1. Step 1: Write the proportion equation
   102,421.50 : 213,018 = 213,018 : x
2. Step 2: Convert to fraction form
   102,421.50/213,018 = 213,018/x
3. Step 3: Cross multiply
   102,421.50x = 213,018 × 213,018
4. Step 4: Simplify right side
   102,421.50x = 45,376,668,324
5. Step 5: Solve for x
   x = 45,376,668,324/102,421.50
6. Step 6: Final answer
   x = 443,038.51