Finding the Third Proportional to 103,642 and 215,072

Step by Step Solution

1. Step 1: Write the proportion equation
   103,642 : 215,072 = 215,072 : x
2. Step 2: Convert to fraction form
   103,642/215,072 = 215,072/x
3. Step 3: Cross multiply
   103,642x = 215,072 × 215,072
4. Step 4: Simplify right side
   103,642x = 46,255,965,184
5. Step 5: Solve for x
   x = 46,255,965,184/103,642
6. Step 6: Final answer
   x = 446,305.22