Finding the Third Proportional to 94,050 and 205,238

Step by Step Solution

1. Step 1: Write the proportion equation
   94,050 : 205,238 = 205,238 : x
2. Step 2: Convert to fraction form
   94,050/205,238 = 205,238/x
3. Step 3: Cross multiply
   94,050x = 205,238 × 205,238
4. Step 4: Simplify right side
   94,050x = 42,122,636,644
5. Step 5: Solve for x
   x = 42,122,636,644/94,050
6. Step 6: Final answer
   x = 447,874.92