Finding the Third Proportional to 94,844 and 205,456

Step by Step Solution

1. Step 1: Write the proportion equation
   94,844 : 205,456 = 205,456 : x
2. Step 2: Convert to fraction form
   94,844/205,456 = 205,456/x
3. Step 3: Cross multiply
   94,844x = 205,456 × 205,456
4. Step 4: Simplify right side
   94,844x = 42,212,167,936
5. Step 5: Solve for x
   x = 42,212,167,936/94,844
6. Step 6: Final answer
   x = 445,069.46