Finding the Third Proportional to 94,580 and 205,960

Step by Step Solution

1. Step 1: Write the proportion equation
   94,580 : 205,960 = 205,960 : x
2. Step 2: Convert to fraction form
   94,580/205,960 = 205,960/x
3. Step 3: Cross multiply
   94,580x = 205,960 × 205,960
4. Step 4: Simplify right side
   94,580x = 42,419,521,600
5. Step 5: Solve for x
   x = 42,419,521,600/94,580
6. Step 6: Final answer
   x = 448,504.14