Finding the Third Proportional to 94,578 and 205,956

Step by Step Solution

1. Step 1: Write the proportion equation
   94,578 : 205,956 = 205,956 : x
2. Step 2: Convert to fraction form
   94,578/205,956 = 205,956/x
3. Step 3: Cross multiply
   94,578x = 205,956 × 205,956
4. Step 4: Simplify right side
   94,578x = 42,417,873,936
5. Step 5: Solve for x
   x = 42,417,873,936/94,578
6. Step 6: Final answer
   x = 448,496.20