Finding the Third Proportional to 105,182 and 215,272

Step by Step Solution

1. Step 1: Write the proportion equation
   105,182 : 215,272 = 215,272 : x
2. Step 2: Convert to fraction form
   105,182/215,272 = 215,272/x
3. Step 3: Cross multiply
   105,182x = 215,272 × 215,272
4. Step 4: Simplify right side
   105,182x = 46,342,033,984
5. Step 5: Solve for x
   x = 46,342,033,984/105,182
6. Step 6: Final answer
   x = 440,589.02