Finding the Third Proportional to 102,636 and 213,435

Step by Step Solution

1. Step 1: Write the proportion equation
   102,636 : 213,435 = 213,435 : x
2. Step 2: Convert to fraction form
   102,636/213,435 = 213,435/x
3. Step 3: Cross multiply
   102,636x = 213,435 × 213,435
4. Step 4: Simplify right side
   102,636x = 45,554,499,225
5. Step 5: Solve for x
   x = 45,554,499,225/102,636
6. Step 6: Final answer
   x = 443,845.23