Finding the Third Proportional to 103,665 and 214,710

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 214,710 = 214,710 : x
2. Step 2: Convert to fraction form
   103,665/214,710 = 214,710/x
3. Step 3: Cross multiply
   103,665x = 214,710 × 214,710
4. Step 4: Simplify right side
   103,665x = 46,100,384,100
5. Step 5: Solve for x
   x = 46,100,384,100/103,665
6. Step 6: Final answer
   x = 444,705.39