Finding the Third Proportional to 103,666 and 215,120

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 215,120 = 215,120 : x
2. Step 2: Convert to fraction form
   103,666/215,120 = 215,120/x
3. Step 3: Cross multiply
   103,666x = 215,120 × 215,120
4. Step 4: Simplify right side
   103,666x = 46,276,614,400
5. Step 5: Solve for x
   x = 46,276,614,400/103,666
6. Step 6: Final answer
   x = 446,401.08