Finding the Third Proportional to 102,721.50 and 213,507

Step by Step Solution

1. Step 1: Write the proportion equation
   102,721.50 : 213,507 = 213,507 : x
2. Step 2: Convert to fraction form
   102,721.50/213,507 = 213,507/x
3. Step 3: Cross multiply
   102,721.50x = 213,507 × 213,507
4. Step 4: Simplify right side
   102,721.50x = 45,585,239,049
5. Step 5: Solve for x
   x = 45,585,239,049/102,721.50
6. Step 6: Final answer
   x = 443,775.05