Finding the Third Proportional to 94,685 and 205,462

Step by Step Solution

1. Step 1: Write the proportion equation
   94,685 : 205,462 = 205,462 : x
2. Step 2: Convert to fraction form
   94,685/205,462 = 205,462/x
3. Step 3: Cross multiply
   94,685x = 205,462 × 205,462
4. Step 4: Simplify right side
   94,685x = 42,214,633,444
5. Step 5: Solve for x
   x = 42,214,633,444/94,685
6. Step 6: Final answer
   x = 445,842.88