Finding the Third Proportional to 103,680 and 215,142

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 215,142 = 215,142 : x
2. Step 2: Convert to fraction form
   103,680/215,142 = 215,142/x
3. Step 3: Cross multiply
   103,680x = 215,142 × 215,142
4. Step 4: Simplify right side
   103,680x = 46,286,080,164
5. Step 5: Solve for x
   x = 46,286,080,164/103,680
6. Step 6: Final answer
   x = 446,432.10