Finding the Third Proportional to 102,256 and 213,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,256 : 213,907.50 = 213,907.50 : x
2. Step 2: Convert to fraction form
   102,256/213,907.50 = 213,907.50/x
3. Step 3: Cross multiply
   102,256x = 213,907.50 × 213,907.50
4. Step 4: Simplify right side
   102,256x = 45,756,418,556.25
5. Step 5: Solve for x
   x = 45,756,418,556.25/102,256
6. Step 6: Final answer
   x = 447,469.28