Finding the Third Proportional to 103,684 and 215,156

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 215,156 = 215,156 : x
2. Step 2: Convert to fraction form
   103,684/215,156 = 215,156/x
3. Step 3: Cross multiply
   103,684x = 215,156 × 215,156
4. Step 4: Simplify right side
   103,684x = 46,292,104,336
5. Step 5: Solve for x
   x = 46,292,104,336/103,684
6. Step 6: Final answer
   x = 446,472.98