Finding the Third Proportional to 103,682 and 215,146

Step by Step Solution

1. Step 1: Write the proportion equation
   103,682 : 215,146 = 215,146 : x
2. Step 2: Convert to fraction form
   103,682/215,146 = 215,146/x
3. Step 3: Cross multiply
   103,682x = 215,146 × 215,146
4. Step 4: Simplify right side
   103,682x = 46,287,801,316
5. Step 5: Solve for x
   x = 46,287,801,316/103,682
6. Step 6: Final answer
   x = 446,440.09