Finding the Third Proportional to 94,442 and 205,499

Step by Step Solution

1. Step 1: Write the proportion equation
   94,442 : 205,499 = 205,499 : x
2. Step 2: Convert to fraction form
   94,442/205,499 = 205,499/x
3. Step 3: Cross multiply
   94,442x = 205,499 × 205,499
4. Step 4: Simplify right side
   94,442x = 42,229,839,001
5. Step 5: Solve for x
   x = 42,229,839,001/94,442
6. Step 6: Final answer
   x = 447,151.05