Finding the Third Proportional to 103,634 and 215,059

Step by Step Solution

1. Step 1: Write the proportion equation
   103,634 : 215,059 = 215,059 : x
2. Step 2: Convert to fraction form
   103,634/215,059 = 215,059/x
3. Step 3: Cross multiply
   103,634x = 215,059 × 215,059
4. Step 4: Simplify right side
   103,634x = 46,250,373,481
5. Step 5: Solve for x
   x = 46,250,373,481/103,634
6. Step 6: Final answer
   x = 446,285.71