Finding the Third Proportional to 103,692 and 215,166

Step by Step Solution

1. Step 1: Write the proportion equation
   103,692 : 215,166 = 215,166 : x
2. Step 2: Convert to fraction form
   103,692/215,166 = 215,166/x
3. Step 3: Cross multiply
   103,692x = 215,166 × 215,166
4. Step 4: Simplify right side
   103,692x = 46,296,407,556
5. Step 5: Solve for x
   x = 46,296,407,556/103,692
6. Step 6: Final answer
   x = 446,480.03