Finding the Third Proportional to 94,470 and 204,456

Step by Step Solution

1. Step 1: Write the proportion equation
   94,470 : 204,456 = 204,456 : x
2. Step 2: Convert to fraction form
   94,470/204,456 = 204,456/x
3. Step 3: Cross multiply
   94,470x = 204,456 × 204,456
4. Step 4: Simplify right side
   94,470x = 41,802,255,936
5. Step 5: Solve for x
   x = 41,802,255,936/94,470
6. Step 6: Final answer
   x = 442,492.39