Finding the Third Proportional to 103,696 and 215,180

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 215,180 = 215,180 : x
2. Step 2: Convert to fraction form
   103,696/215,180 = 215,180/x
3. Step 3: Cross multiply
   103,696x = 215,180 × 215,180
4. Step 4: Simplify right side
   103,696x = 46,302,432,400
5. Step 5: Solve for x
   x = 46,302,432,400/103,696
6. Step 6: Final answer
   x = 446,520.91