Finding the Third Proportional to 94,243 and 205,105

Step by Step Solution

1. Step 1: Write the proportion equation
   94,243 : 205,105 = 205,105 : x
2. Step 2: Convert to fraction form
   94,243/205,105 = 205,105/x
3. Step 3: Cross multiply
   94,243x = 205,105 × 205,105
4. Step 4: Simplify right side
   94,243x = 42,068,061,025
5. Step 5: Solve for x
   x = 42,068,061,025/94,243
6. Step 6: Final answer
   x = 446,378.63