Finding the Third Proportional to 103,633 and 215,055

Step by Step Solution

1. Step 1: Write the proportion equation
   103,633 : 215,055 = 215,055 : x
2. Step 2: Convert to fraction form
   103,633/215,055 = 215,055/x
3. Step 3: Cross multiply
   103,633x = 215,055 × 215,055
4. Step 4: Simplify right side
   103,633x = 46,248,653,025
5. Step 5: Solve for x
   x = 46,248,653,025/103,633
6. Step 6: Final answer
   x = 446,273.42