Finding the Third Proportional to 103,638 and 215,064

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 215,064 = 215,064 : x
2. Step 2: Convert to fraction form
   103,638/215,064 = 215,064/x
3. Step 3: Cross multiply
   103,638x = 215,064 × 215,064
4. Step 4: Simplify right side
   103,638x = 46,252,524,096
5. Step 5: Solve for x
   x = 46,252,524,096/103,638
6. Step 6: Final answer
   x = 446,289.24