Finding the Third Proportional to 103,682 and 215,152

Step by Step Solution

1. Step 1: Write the proportion equation
   103,682 : 215,152 = 215,152 : x
2. Step 2: Convert to fraction form
   103,682/215,152 = 215,152/x
3. Step 3: Cross multiply
   103,682x = 215,152 × 215,152
4. Step 4: Simplify right side
   103,682x = 46,290,383,104
5. Step 5: Solve for x
   x = 46,290,383,104/103,682
6. Step 6: Final answer
   x = 446,464.99